Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480r |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
92480 = 26 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 -3 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30271,2037285] |
[a1,a2,a3,a4,a6] |
Generators |
[1226268:381:12167] |
Generators of the group modulo torsion |
j |
165859574316544/5 |
j-invariant |
L |
10.282042324059 |
L(r)(E,1)/r! |
Ω |
1.7934072866529 |
Real period |
R |
5.7332444129918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480ba1 46240p1 92480cr1 |
Quadratic twists by: -4 8 17 |