Atkin-Lehner |
2- 3- 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266ca |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
285696 |
Modular degree for the optimal curve |
Δ |
-3476996625497724 = -1 · 22 · 36 · 78 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,24376,2423463] |
[a1,a2,a3,a4,a6] |
j |
2197354919110343/4769542696156 |
j-invariant |
L |
7.4116534886075 |
L(r)(E,1)/r! |
Ω |
0.30881889538402 |
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 |
5474c1 |
Quadratic twists by: -3 |