Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
98880bf |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-6.2424735058355E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 -1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-229761,-1202759199] |
[a1,a2,a3,a4,a6] |
Generators |
[389709:243281880:1] |
Generators of the group modulo torsion |
j |
-40935924753857288/19050517290757635 |
j-invariant |
L |
4.7824719758102 |
L(r)(E,1)/r! |
Ω |
0.072928186940374 |
Real period |
R |
2.7324094289396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98880bp1 49440p1 |
Quadratic twists by: -4 8 |