Atkin-Lehner |
3- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
104025m |
Isogeny class |
Conductor |
104025 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
7129277501765625 = 32 · 56 · 194 · 733 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 4 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-211638,37236267] |
[a1,a2,a3,a4,a6] |
Generators |
[233:650:1] |
Generators of the group modulo torsion |
j |
67094166273513625/456273760113 |
j-invariant |
L |
5.9537478655013 |
L(r)(E,1)/r! |
Ω |
0.42150862809428 |
Real period |
R |
2.3541423443654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161a1 |
Quadratic twists by: 5 |