Atkin-Lehner |
2+ 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770d |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-22307678453760 = -1 · 222 · 3 · 5 · 7 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 5 -2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22498,-1328012] |
[a1,a2,a3,a4,a6] |
j |
-1259463573132482089/22307678453760 |
j-invariant |
L |
1.1682233224091 |
L(r)(E,1)/r! |
Ω |
0.19470388706819 |
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 |
62160cq1 23310bt1 38850cq1 54390bj1 |
Quadratic twists by: -4 -3 5 -7 |