Atkin-Lehner |
2+ 3+ 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350l |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
8467200 |
Modular degree for the optimal curve |
Δ |
4.2084598811794E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 1 1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14995275,-20058919875] |
[a1,a2,a3,a4,a6] |
Generators |
[-2755:20140:1] |
Generators of the group modulo torsion |
j |
23865307557788352935089/2693414323954800000 |
j-invariant |
L |
4.1556867168499 |
L(r)(E,1)/r! |
Ω |
0.077283678704665 |
Real period |
R |
3.8408467461491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999867276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17670v1 |
Quadratic twists by: 5 |