Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920ek |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
3354624 |
Modular degree for the optimal curve |
Δ |
50478059520000000 = 218 · 37 · 57 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16169187,25025360866] |
[a1,a2,a3,a4,a6] |
Generators |
[977:100800:1] |
Generators of the group modulo torsion |
j |
156567200830221067489/16905000000 |
j-invariant |
L |
7.7865913735726 |
L(r)(E,1)/r! |
Ω |
0.27498821979608 |
Real period |
R |
0.50564447722903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490w1 38640cj1 |
Quadratic twists by: -4 -3 |