Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59248r |
Isogeny class |
Conductor |
59248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
478625251328 = 214 · 74 · 233 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 4 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7475,246514] |
[a1,a2,a3,a4,a6] |
Generators |
[55:42:1] |
Generators of the group modulo torsion |
j |
926859375/9604 |
j-invariant |
L |
5.4456468791506 |
L(r)(E,1)/r! |
Ω |
0.93785909102886 |
Real period |
R |
2.903232975481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7406e2 59248w2 |
Quadratic twists by: -4 -23 |