Atkin-Lehner |
2- 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
75920t |
Isogeny class |
Conductor |
75920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
129362821120 = 221 · 5 · 132 · 73 |
Discriminant |
Eigenvalues |
2- -3 5- -3 3 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2707,-51374] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:26:1] |
Generators of the group modulo torsion |
j |
535585155561/31582720 |
j-invariant |
L |
3.8639089976913 |
L(r)(E,1)/r! |
Ω |
0.66431625841926 |
Real period |
R |
1.4540924403431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9490g1 |
Quadratic twists by: -4 |