Atkin-Lehner |
2+ 3- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61104i |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18144000 |
Modular degree for the optimal curve |
Δ |
-1.9512675876567E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 -6 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1106057896,14158055022116] |
[a1,a2,a3,a4,a6] |
j |
-146136040894046052303137127076/190553475357102801 |
j-invariant |
L |
0.45607955542204 |
L(r)(E,1)/r! |
Ω |
0.11401988850204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30552b1 |
Quadratic twists by: -4 |