Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42700d |
Isogeny class |
Conductor |
42700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
6355468000000 = 28 · 56 · 7 · 613 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36708,-2692088] |
[a1,a2,a3,a4,a6] |
Generators |
[282:3050:1] |
Generators of the group modulo torsion |
j |
1367595682000/1588867 |
j-invariant |
L |
4.3319636453738 |
L(r)(E,1)/r! |
Ω |
0.34493612799819 |
Real period |
R |
0.69770785786274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1708a2 |
Quadratic twists by: 5 |