Atkin-Lehner |
2+ 5- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15010b |
Isogeny class |
Conductor |
15010 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-7129750000 = -1 · 24 · 56 · 192 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -4 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,427,2256] |
[a1,a2,a3,a4,a6] |
Generators |
[0:47:1] |
Generators of the group modulo torsion |
j |
8639101458359/7129750000 |
j-invariant |
L |
1.8513159912529 |
L(r)(E,1)/r! |
Ω |
0.85717027192448 |
Real period |
R |
0.35996659627039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120080j1 75050k1 |
Quadratic twists by: -4 5 |