Atkin-Lehner |
2+ 7- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95312a |
Isogeny class |
Conductor |
95312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-5191072768 = -1 · 210 · 7 · 232 · 372 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2267,41690] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:230:1] [19:74:1] |
Generators of the group modulo torsion |
j |
-1258282961604/5069407 |
j-invariant |
L |
8.6634918292468 |
L(r)(E,1)/r! |
Ω |
1.3678842436858 |
Real period |
R |
1.5833744464882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47656b1 |
Quadratic twists by: -4 |