Atkin-Lehner |
2+ 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350a |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5656625000000000 = 29 · 512 · 13 · 592 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-883625,319317125] |
[a1,a2,a3,a4,a6] |
Generators |
[93765:-5389070:27] |
Generators of the group modulo torsion |
j |
4883244145605006481/362024000000 |
j-invariant |
L |
5.1040845943068 |
L(r)(E,1)/r! |
Ω |
0.40687082836377 |
Real period |
R |
6.2723648864603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7670i2 |
Quadratic twists by: 5 |