Atkin-Lehner |
2+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24050c |
Isogeny class |
Conductor |
24050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-2314720532800 = -1 · 26 · 52 · 134 · 373 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-49790,4256180] |
[a1,a2,a3,a4,a6] |
Generators |
[3468:-1058:27] |
Generators of the group modulo torsion |
j |
-546039061007563345/92588821312 |
j-invariant |
L |
6.4661931356108 |
L(r)(E,1)/r! |
Ω |
0.79301086922434 |
Real period |
R |
2.0384944855597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24050y1 |
Quadratic twists by: 5 |