Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
12360d |
Isogeny class |
Conductor |
12360 |
Conductor |
∏ cp |
130 |
Product of Tamagawa factors cp |
deg |
1601600 |
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 |
[1412:300348:1] |
Generators of the group modulo torsion |
j |
-17043681884495578064985316/1443951031218905390625 |
j-invariant |
L |
5.258056616853 |
L(r)(E,1)/r! |
Ω |
0.083221009250803 |
Real period |
R |
0.48601416546768 |
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 |
24720a1 98880n1 37080s1 61800h1 |
Quadratic twists by: -4 8 -3 5 |