Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275dq |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70963200 |
Modular degree for the optimal curve |
Δ |
4.48030236216E+26 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- -1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3789660000,-89788466189844] |
[a1,a2,a3,a4,a6] |
j |
7186354610687180800/534923296677 |
j-invariant |
L |
0.1539358095172 |
L(r)(E,1)/r! |
Ω |
0.019242054148809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425bx1 121275gg1 17325bd1 |
Quadratic twists by: -3 5 -7 |