Atkin-Lehner |
2- 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824ca |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
24916747980128256 = 214 · 316 · 73 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82659,5098210] |
[a1,a2,a3,a4,a6] |
j |
20917350641377/8344568484 |
j-invariant |
L |
4.118070283078 |
L(r)(E,1)/r! |
Ω |
0.34317252154332 |
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 |
12978g1 34608bb1 |
Quadratic twists by: -4 -3 |