Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480bp |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
3605157642240 = 218 · 36 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5136,110016] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:486:1] |
Generators of the group modulo torsion |
j |
3658671062929/880165440 |
j-invariant |
L |
3.2455212665733 |
L(r)(E,1)/r! |
Ω |
0.74130683879379 |
Real period |
R |
2.1890539090764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2310u1 73920hi1 55440ed1 92400hk1 |
Quadratic twists by: -4 8 -3 5 |