Atkin-Lehner |
5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39325o |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-163121633060546875 = -1 · 59 · 113 · 137 |
Discriminant |
Eigenvalues |
0 2 5- 0 11+ 13+ -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,135667,2724193] |
[a1,a2,a3,a4,a6] |
j |
106227040256/62748517 |
j-invariant |
L |
0.78632760032067 |
L(r)(E,1)/r! |
Ω |
0.19658190010224 |
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 |
39325r1 39325q1 |
Quadratic twists by: 5 -11 |