Atkin-Lehner |
3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925c |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
851795196533203125 = 3 · 518 · 74 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 3 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2370783,-1403538907] |
[a1,a2,a3,a4,a6] |
j |
39281414898417664/22705078125 |
j-invariant |
L |
2.1901015990095 |
L(r)(E,1)/r! |
Ω |
0.12167228255538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22785i2 113925bu2 |
Quadratic twists by: 5 -7 |