Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ga |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
9953280 |
Modular degree for the optimal curve |
Δ |
-7.21882762524E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4806662,-505870969] |
[a1,a2,a3,a4,a6] |
j |
443688652450511/260789760000 |
j-invariant |
L |
5.6022072235808 |
L(r)(E,1)/r! |
Ω |
0.07780842403444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410w1 11550c1 |
Quadratic twists by: 5 -11 |