Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975r |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
59374974140625 = 3 · 57 · 117 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-136188,19284156] |
[a1,a2,a3,a4,a6] |
Generators |
[27120:-2153:125] |
Generators of the group modulo torsion |
j |
10091699281/2145 |
j-invariant |
L |
4.450315501149 |
L(r)(E,1)/r! |
Ω |
0.60770485711076 |
Real period |
R |
7.3231525983822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000219645 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23595o1 10725b1 |
Quadratic twists by: 5 -11 |