Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425w |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-626329855421875 = -1 · 56 · 119 · 17 |
Discriminant |
Eigenvalues |
2 0 5+ -5 11- 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,21175,-207969] |
[a1,a2,a3,a4,a6] |
Generators |
[17250:802821:8] |
Generators of the group modulo torsion |
j |
37933056/22627 |
j-invariant |
L |
8.9726889886536 |
L(r)(E,1)/r! |
Ω |
0.29971811343239 |
Real period |
R |
7.4842732108171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2057d1 4675g1 |
Quadratic twists by: 5 -11 |