Atkin-Lehner |
2- 3+ 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650ci |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-4765800 = -1 · 23 · 3 · 52 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[11:33:1] |
Generators of the group modulo torsion |
j |
7604375/190632 |
j-invariant |
L |
6.6459101084542 |
L(r)(E,1)/r! |
Ω |
1.1802223418193 |
Real period |
R |
0.93851102901418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91650bs1 |
Quadratic twists by: 5 |