Atkin-Lehner |
2+ 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24720a |
Isogeny class |
Conductor |
24720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3203200 |
Modular degree for the optimal curve |
Δ |
-1.4786058559682E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 0 4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54039736,-163695868064] |
[a1,a2,a3,a4,a6] |
Generators |
[1571321535129769867481937829733815761944264803731089122:355140958092162920708173950158744236856377511313338657790:30113948860310447938788708593851375466649706886663] |
Generators of the group modulo torsion |
j |
-17043681884495578064985316/1443951031218905390625 |
j-invariant |
L |
4.7767919283081 |
L(r)(E,1)/r! |
Ω |
0.027707242464344 |
Real period |
R |
86.201142796063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12360d1 98880bw1 74160p1 123600m1 |
Quadratic twists by: -4 8 -3 5 |