Atkin-Lehner |
2+ 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7770f |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-310858430400 = -1 · 26 · 37 · 52 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1033,24021] |
[a1,a2,a3,a4,a6] |
j |
121721586383879/310858430400 |
j-invariant |
L |
1.3540740949171 |
L(r)(E,1)/r! |
Ω |
0.67703704745854 |
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 |
62160cw1 23310bj1 38850cs1 54390p1 |
Quadratic twists by: -4 -3 5 -7 |