Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4290d |
Isogeny class |
Conductor |
4290 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
16282209155097600 = 210 · 32 · 52 · 114 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-119918,-14807628] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:1167:1] |
Generators of the group modulo torsion |
j |
190713967472892532969/16282209155097600 |
j-invariant |
L |
2.1633904453993 |
L(r)(E,1)/r! |
Ω |
0.25794891780433 |
Real period |
R |
0.69890790258468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34320bv2 12870ca2 21450cn2 47190bn2 |
Quadratic twists by: -4 -3 5 -11 |