Atkin-Lehner |
2+ 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
122640f |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
3066000 = 24 · 3 · 53 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -1 -2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36,15] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] |
Generators of the group modulo torsion |
j |
331527424/191625 |
j-invariant |
L |
4.0703062513511 |
L(r)(E,1)/r! |
Ω |
2.1459365005976 |
Real period |
R |
1.8967505508629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61320l1 |
Quadratic twists by: -4 |