Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
94800bo |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-3412800000000 = -1 · 212 · 33 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -3 5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43008,3448512] |
[a1,a2,a3,a4,a6] |
Generators |
[122:50:1] |
Generators of the group modulo torsion |
j |
-137467988281/53325 |
j-invariant |
L |
4.1700247728218 |
L(r)(E,1)/r! |
Ω |
0.77891437628828 |
Real period |
R |
1.3384092340269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5925g1 18960x1 |
Quadratic twists by: -4 5 |