Atkin-Lehner |
5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
98315c |
Isogeny class |
Conductor |
98315 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
75168 |
Modular degree for the optimal curve |
Δ |
-6904170875 = -1 · 53 · 7 · 534 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7+ 0 -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-936,12042] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-27:1] [33:126:1] |
Generators of the group modulo torsion |
j |
-11505664/875 |
j-invariant |
L |
4.0405997782002 |
L(r)(E,1)/r! |
Ω |
1.3044685239908 |
Real period |
R |
1.032502178345 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98315h1 |
Quadratic twists by: 53 |