Atkin-Lehner |
2+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
22624b |
Isogeny class |
Conductor |
22624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
20271104 = 212 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ -2 -5 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152,688] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:28:1] [4:12:1] |
Generators of the group modulo torsion |
j |
94818816/4949 |
j-invariant |
L |
7.5059786145114 |
L(r)(E,1)/r! |
Ω |
2.1320283092691 |
Real period |
R |
0.88014528018683 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22624e1 45248s1 |
Quadratic twists by: -4 8 |