Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370f |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7669140185701562500 = 22 · 58 · 172 · 198 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2860090,1857675456] |
[a1,a2,a3,a4,a6] |
Generators |
[2544581:20450522:2197] |
Generators of the group modulo torsion |
j |
54997290038077569/163014062500 |
j-invariant |
L |
3.3287579907287 |
L(r)(E,1)/r! |
Ω |
0.23519040515318 |
Real period |
R |
7.0767299976264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000378 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3230e2 |
Quadratic twists by: -19 |