Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370n |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
-4461395153408000000 = -1 · 215 · 56 · 176 · 192 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 -3 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2102671,-1178827371] |
[a1,a2,a3,a4,a6] |
Generators |
[7329:610460:1] |
Generators of the group modulo torsion |
j |
-2847937787543324889289/12358435328000000 |
j-invariant |
L |
6.3809911923501 |
L(r)(E,1)/r! |
Ω |
0.062670615572931 |
Real period |
R |
1.6969651921982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61370a2 |
Quadratic twists by: -19 |