Atkin-Lehner |
2+ 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
62608d |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-104179712 = -1 · 211 · 7 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ -1 4 7- -5 13+ -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456,-3632] |
[a1,a2,a3,a4,a6] |
j |
-5131452818/50869 |
j-invariant |
L |
2.0646778135501 |
L(r)(E,1)/r! |
Ω |
0.51616945638138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31304a1 |
Quadratic twists by: -4 |