Atkin-Lehner |
2- 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2478d |
Isogeny class |
Conductor |
2478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
11240208 = 24 · 35 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-308,-2203] |
[a1,a2,a3,a4,a6] |
j |
3231945186625/11240208 |
j-invariant |
L |
2.2796876800161 |
L(r)(E,1)/r! |
Ω |
1.139843840008 |
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 |
19824x1 79296t1 7434a1 61950bb1 |
Quadratic twists by: -4 8 -3 5 |