Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080ck |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-17646465600 = -1 · 26 · 38 · 52 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,7756] |
[a1,a2,a3,a4,a6] |
j |
-308915776/378225 |
j-invariant |
L |
2.2240932305136 |
L(r)(E,1)/r! |
Ω |
1.1120460040977 |
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 |
118080cl1 59040l2 39360x1 |
Quadratic twists by: -4 8 -3 |