Atkin-Lehner |
5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
39325r |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-10439784515875 = -1 · 53 · 113 · 137 |
Discriminant |
Eigenvalues |
0 -2 5- 0 11+ 13- 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5427,23964] |
[a1,a2,a3,a4,a6] |
Generators |
[18:357:1] |
Generators of the group modulo torsion |
j |
106227040256/62748517 |
j-invariant |
L |
2.9531702321161 |
L(r)(E,1)/r! |
Ω |
0.43957049177468 |
Real period |
R |
0.2399395942319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39325o1 39325p1 |
Quadratic twists by: 5 -11 |