Atkin-Lehner |
2+ 5+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
102350d |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
630784 |
Modular degree for the optimal curve |
Δ |
-8585740288000000 = -1 · 228 · 56 · 23 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-135467,19735941] |
[a1,a2,a3,a4,a6] |
Generators |
[-9680385:-212650357:35937] |
Generators of the group modulo torsion |
j |
-17595678939932673/549487378432 |
j-invariant |
L |
5.4613411698526 |
L(r)(E,1)/r! |
Ω |
0.41102625014541 |
Real period |
R |
13.2870860616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4094e1 |
Quadratic twists by: 5 |