Atkin-Lehner |
2+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
22624a |
Isogeny class |
Conductor |
22624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-260845715648 = -1 · 26 · 79 · 101 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ 2 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2574,-55100] |
[a1,a2,a3,a4,a6] |
Generators |
[75:410:1] |
Generators of the group modulo torsion |
j |
-29480719492288/4075714307 |
j-invariant |
L |
3.0933251368916 |
L(r)(E,1)/r! |
Ω |
0.33256780775179 |
Real period |
R |
4.6506683220529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22624g1 45248f1 |
Quadratic twists by: -4 8 |