Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34400b |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-1720000000000 = -1 · 212 · 510 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 3 1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1667,-57963] |
[a1,a2,a3,a4,a6] |
Generators |
[252465:2337596:3375] |
Generators of the group modulo torsion |
j |
12800/43 |
j-invariant |
L |
7.7212255031157 |
L(r)(E,1)/r! |
Ω |
0.42814531594089 |
Real period |
R |
9.0170617494058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34400bg1 68800bm1 34400bp1 |
Quadratic twists by: -4 8 5 |