Atkin-Lehner |
2+ 7- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95312g |
Isogeny class |
Conductor |
95312 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-836081867992849408 = -1 · 210 · 77 · 232 · 374 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,190549,30172714] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:4508:1] |
Generators of the group modulo torsion |
j |
747211895716228092/816486199211767 |
j-invariant |
L |
4.5641056095552 |
L(r)(E,1)/r! |
Ω |
0.18712298756823 |
Real period |
R |
0.87110501034271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47656a1 |
Quadratic twists by: -4 |