Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952bi |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1003520 |
Modular degree for the optimal curve |
Δ |
33054758418514896 = 24 · 311 · 79 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-232554,-42269605] |
[a1,a2,a3,a4,a6] |
j |
2955053056/70227 |
j-invariant |
L |
0.4354390755675 |
L(r)(E,1)/r! |
Ω |
0.21771953363227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59976bn1 39984e1 119952ba1 |
Quadratic twists by: -4 -3 -7 |