Atkin-Lehner |
2+ 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23560b |
Isogeny class |
Conductor |
23560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
147250000 = 24 · 56 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-238,-1287] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:6:1] |
Generators of the group modulo torsion |
j |
93182552064/9203125 |
j-invariant |
L |
2.8608630205633 |
L(r)(E,1)/r! |
Ω |
1.2232263428153 |
Real period |
R |
2.3387846716732 |
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 |
47120a1 117800m1 |
Quadratic twists by: -4 5 |