Atkin-Lehner |
2- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65702q |
Isogeny class |
Conductor |
65702 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
284544 |
Modular degree for the optimal curve |
Δ |
-43274118628468 = -1 · 22 · 72 · 13 · 198 |
Discriminant |
Eigenvalues |
2- 0 0 7+ -5 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-130750,-18167455] |
[a1,a2,a3,a4,a6] |
Generators |
[41878:3001349:8] |
Generators of the group modulo torsion |
j |
-14555156625/2548 |
j-invariant |
L |
7.6668327804468 |
L(r)(E,1)/r! |
Ω |
0.12553211124875 |
Real period |
R |
5.08955617287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65702c1 |
Quadratic twists by: -19 |