Atkin-Lehner |
2- 3+ 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98532f |
Isogeny class |
Conductor |
98532 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
8276688 = 24 · 33 · 72 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-384,2893] |
[a1,a2,a3,a4,a6] |
j |
14495514624/19159 |
j-invariant |
L |
2.3235318536082 |
L(r)(E,1)/r! |
Ω |
2.3235318980453 |
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 |
98532c1 |
Quadratic twists by: -3 |