Atkin-Lehner |
2- 3+ 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710w |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-8321916595691520000 = -1 · 216 · 36 · 54 · 23 · 594 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78725,139021067] |
[a1,a2,a3,a4,a6] |
j |
-53958772925871656401/8321916595691520000 |
j-invariant |
L |
6.0935707486996 |
L(r)(E,1)/r! |
Ω |
0.19042408590232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122130o1 |
Quadratic twists by: -3 |