Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024ef |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
24538563622207488 = 228 · 3 · 77 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79592,4203828] |
[a1,a2,a3,a4,a6] |
Generators |
[2429763026490:-8292154802176:9460870875] |
Generators of the group modulo torsion |
j |
115714886617/50921472 |
j-invariant |
L |
10.229550097113 |
L(r)(E,1)/r! |
Ω |
0.34035497649495 |
Real period |
R |
15.027766311651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10878k1 12432bl1 |
Quadratic twists by: -4 -7 |