Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240gc |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
-7.195474944E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32399841,-70974695295] |
[a1,a2,a3,a4,a6] |
j |
-14348696196102335214841/274485585937500 |
j-invariant |
L |
0.12655977292284 |
L(r)(E,1)/r! |
Ω |
0.031639771594573 |
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 |
114240cz1 28560eb1 |
Quadratic twists by: -4 8 |