Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
25432p |
Isogeny class |
Conductor |
25432 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-47660788736 = -1 · 210 · 115 · 172 |
Discriminant |
Eigenvalues |
2+ -3 -3 0 11- -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1819,31654] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:56:1] [103:968:1] |
Generators of the group modulo torsion |
j |
-2249178948/161051 |
j-invariant |
L |
4.2260391378785 |
L(r)(E,1)/r! |
Ω |
1.1118235737653 |
Real period |
R |
0.38009979619045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50864k1 25432h1 |
Quadratic twists by: -4 17 |