Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450d |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2052581127200 = -1 · 25 · 52 · 376 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 -3 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4135,121685] |
[a1,a2,a3,a4,a6] |
Generators |
[89:640:1] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
1.5827743609415 |
L(r)(E,1)/r! |
Ω |
0.78649398346701 |
Real period |
R |
1.00622153148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450bl3 50b1 |
Quadratic twists by: 5 37 |