Atkin-Lehner |
3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7497d |
Isogeny class |
Conductor |
7497 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
2089646029611 = 311 · 74 · 173 |
Discriminant |
Eigenvalues |
1 3- -1 7+ 2 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4860,111537] |
[a1,a2,a3,a4,a6] |
j |
7253758561/1193859 |
j-invariant |
L |
1.5780028584093 |
L(r)(E,1)/r! |
Ω |
0.78900142920464 |
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 |
119952dm1 2499i1 7497n1 127449t1 |
Quadratic twists by: -4 -3 -7 17 |