Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550gr |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
11088000 |
Modular degree for the optimal curve |
Δ |
-6.7617244827371E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17409848,30624352121] |
[a1,a2,a3,a4,a6] |
Generators |
[1989:-63203:1] |
Generators of the group modulo torsion |
j |
-198417696411528597145/22989483914821632 |
j-invariant |
L |
7.8990481218727 |
L(r)(E,1)/r! |
Ω |
0.10686042285694 |
Real period |
R |
1.8479826099463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550fs2 1950y1 |
Quadratic twists by: 5 -7 |