Atkin-Lehner |
2+ 3+ 5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
30810a |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
85433049000000 = 26 · 34 · 56 · 132 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24973,1442077] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:9971:8] |
Generators of the group modulo torsion |
j |
1722515093534374489/85433049000000 |
j-invariant |
L |
3.7789070642279 |
L(r)(E,1)/r! |
Ω |
0.59862270383874 |
Real period |
R |
3.1563345659922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92430bp2 |
Quadratic twists by: -3 |