Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568v |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
15968016 = 24 · 36 · 372 |
Discriminant |
Eigenvalues |
2- 3- 3 3 0 -3 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,407] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:29:1] |
Generators of the group modulo torsion |
j |
9472 |
j-invariant |
L |
10.120982508498 |
L(r)(E,1)/r! |
Ω |
2.1381185198777 |
Real period |
R |
2.3667964157496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10952b1 98568i1 |
Quadratic twists by: -3 37 |