Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ct |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-7596342845437500 = -1 · 22 · 34 · 56 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13549,4150298] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:2002:1] |
Generators of the group modulo torsion |
j |
9938375/274428 |
j-invariant |
L |
5.6081646380746 |
L(r)(E,1)/r! |
Ω |
0.31358918723245 |
Real period |
R |
1.1177371778358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999070682 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5082t1 11550ck1 |
Quadratic twists by: 5 -11 |