Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
121128o |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
15830367549696 = 28 · 36 · 77 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 2 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10012,-338080] |
[a1,a2,a3,a4,a6] |
j |
3685542352/525609 |
j-invariant |
L |
2.8908354095031 |
L(r)(E,1)/r! |
Ω |
0.48180559746823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17304c1 |
Quadratic twists by: -7 |