Atkin-Lehner |
3- 5+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675bd |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4766846921484375 = 3 · 58 · 74 · 13 · 194 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-139213,19703042] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1234:1] |
Generators of the group modulo torsion |
j |
19096037487458569/305078202975 |
j-invariant |
L |
5.0356413409399 |
L(r)(E,1)/r! |
Ω |
0.43440104263238 |
Real period |
R |
1.4490185394764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935a3 |
Quadratic twists by: 5 |