Atkin-Lehner |
2+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49504f |
Isogeny class |
Conductor |
49504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
-107720704 = -1 · 212 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- 0 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-248,-1584] |
[a1,a2,a3,a4,a6] |
j |
-411830784/26299 |
j-invariant |
L |
2.3972651357163 |
L(r)(E,1)/r! |
Ω |
0.59931628403237 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49504c1 99008cr1 |
Quadratic twists by: -4 8 |