Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928bf |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1062903937612382208 = 222 · 316 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-259500,-11332816] |
[a1,a2,a3,a4,a6] |
Generators |
[-48130:701568:125] |
Generators of the group modulo torsion |
j |
10112728515625/5561943408 |
j-invariant |
L |
7.4490864498041 |
L(r)(E,1)/r! |
Ω |
0.2262179463615 |
Real period |
R |
4.1161005136927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928el2 3654r2 38976a2 |
Quadratic twists by: -4 8 -3 |