Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120br |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
-1.0284389141419E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9005330,10518354900] |
[a1,a2,a3,a4,a6] |
j |
-1261951554161129784785344/16069358033467396875 |
j-invariant |
L |
1.5635071549405 |
L(r)(E,1)/r! |
Ω |
0.15635071562001 |
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 |
57120co1 114240io2 |
Quadratic twists by: -4 8 |