Atkin-Lehner |
2+ 3+ 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050p |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1300992 |
Modular degree for the optimal curve |
Δ |
-47241871792128000 = -1 · 214 · 34 · 53 · 136 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-468195,-123945075] |
[a1,a2,a3,a4,a6] |
Generators |
[73995:20090445:1] |
Generators of the group modulo torsion |
j |
-90802010112617866733/377934974337024 |
j-invariant |
L |
3.3989077617728 |
L(r)(E,1)/r! |
Ω |
0.091233549794578 |
Real period |
R |
9.3137550350013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115050cl1 |
Quadratic twists by: 5 |