Atkin-Lehner |
11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35321d |
Isogeny class |
Conductor |
35321 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-119726037894614437 = -1 · 114 · 137 · 194 |
Discriminant |
Eigenvalues |
1 0 2 0 11- 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-142076,-26460095] |
[a1,a2,a3,a4,a6] |
Generators |
[58078745160:2256807560405:35287552] |
Generators of the group modulo torsion |
j |
-65709397066977/24804386893 |
j-invariant |
L |
7.2967816198329 |
L(r)(E,1)/r! |
Ω |
0.12068564916631 |
Real period |
R |
15.115263642028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2717a4 |
Quadratic twists by: 13 |