Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800kc |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8647201500000000 = 28 · 3 · 59 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83708,-8205912] |
[a1,a2,a3,a4,a6] |
Generators |
[87558210:-25908687819:1000] |
Generators of the group modulo torsion |
j |
1102736/147 |
j-invariant |
L |
7.4005653448606 |
L(r)(E,1)/r! |
Ω |
0.28315093581089 |
Real period |
R |
13.068233950152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700u2 58800hl2 8400bx2 |
Quadratic twists by: -4 5 -7 |