Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240du |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-87736320 = -1 · 214 · 32 · 5 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-341,2355] |
[a1,a2,a3,a4,a6] |
j |
-268435456/5355 |
j-invariant |
L |
3.8269287841435 |
L(r)(E,1)/r! |
Ω |
1.9134644012414 |
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 |
114240fj1 7140g1 |
Quadratic twists by: -4 8 |