Atkin-Lehner |
5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51425bg |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-59837794451875 = -1 · 54 · 117 · 173 |
Discriminant |
Eigenvalues |
2 0 5- 3 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15125,-806919] |
[a1,a2,a3,a4,a6] |
Generators |
[40011518634472701492:495655789409505162331:171571900361037632] |
Generators of the group modulo torsion |
j |
-345600000/54043 |
j-invariant |
L |
12.711641757659 |
L(r)(E,1)/r! |
Ω |
0.2134141306518 |
Real period |
R |
29.781630951137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51425y1 4675s1 |
Quadratic twists by: 5 -11 |