Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275eu |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
8.814506678009E+21 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11- 3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19234425,-32153108094] |
[a1,a2,a3,a4,a6] |
j |
1409995418369929216/15792626953125 |
j-invariant |
L |
1.7313509444153 |
L(r)(E,1)/r! |
Ω |
0.072139595482436 |
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 |
40425cl1 24255bz1 121275cv1 |
Quadratic twists by: -3 5 -7 |