Atkin-Lehner |
2- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24304u |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-40663584684900352 = -1 · 220 · 79 · 312 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,80605,-4067294] |
[a1,a2,a3,a4,a6] |
Generators |
[177:-3968:1] [5430:121582:27] |
Generators of the group modulo torsion |
j |
350402625/246016 |
j-invariant |
L |
7.5655888914307 |
L(r)(E,1)/r! |
Ω |
0.20462558054261 |
Real period |
R |
9.2432100514615 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3038a1 97216bz1 24304k1 |
Quadratic twists by: -4 8 -7 |