Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
24700c |
Isogeny class |
Conductor |
24700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-5075948800 = -1 · 28 · 52 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-268,3912] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:513:8] |
Generators of the group modulo torsion |
j |
-333862480/793117 |
j-invariant |
L |
7.5445834055223 |
L(r)(E,1)/r! |
Ω |
1.208069610004 |
Real period |
R |
3.1225780960989 |
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 |
98800bl1 24700r1 |
Quadratic twists by: -4 5 |