Atkin-Lehner |
2- 3+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61104p |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-119478362112 = -1 · 213 · 32 · 192 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1112,8176] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-152:1] |
Generators of the group modulo torsion |
j |
37092620375/29169522 |
j-invariant |
L |
3.9912422912264 |
L(r)(E,1)/r! |
Ω |
0.6739486240836 |
Real period |
R |
0.74027198594263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7638c2 |
Quadratic twists by: -4 |