Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425y |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-934965538310546875 = -1 · 510 · 117 · 173 |
Discriminant |
Eigenvalues |
-2 0 5+ -3 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-378125,-100864844] |
[a1,a2,a3,a4,a6] |
Generators |
[2101:91536:1] |
Generators of the group modulo torsion |
j |
-345600000/54043 |
j-invariant |
L |
2.0174585163909 |
L(r)(E,1)/r! |
Ω |
0.095441700699288 |
Real period |
R |
3.5230206880976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51425bg1 4675e1 |
Quadratic twists by: 5 -11 |