Atkin-Lehner |
2+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15950h |
Isogeny class |
Conductor |
15950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-31620300800000000 = -1 · 221 · 58 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5- -4 11+ -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,73424,3820798] |
[a1,a2,a3,a4,a6] |
Generators |
[43507188:1364930639:46656] |
Generators of the group modulo torsion |
j |
112069207574375/80947970048 |
j-invariant |
L |
3.3340203157159 |
L(r)(E,1)/r! |
Ω |
0.23546878223188 |
Real period |
R |
14.159075713199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127600bu2 15950l2 |
Quadratic twists by: -4 5 |