Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810cc |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5.6347975118283E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-640478446,-6239111413021] |
[a1,a2,a3,a4,a6] |
Generators |
[-997497959628663:719417667904705:68267486503] |
Generators of the group modulo torsion |
j |
617611911727813844500009/1197723879765000 |
j-invariant |
L |
7.7855040537337 |
L(r)(E,1)/r! |
Ω |
0.030010516878567 |
Real period |
R |
21.618821398435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3990l4 |
Quadratic twists by: -19 |