Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990cc |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
2132401556939270400 = 28 · 312 · 52 · 76 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-646088,187294731] |
[a1,a2,a3,a4,a6] |
Generators |
[995:-23493:1] |
Generators of the group modulo torsion |
j |
40913871620535257401/2925105016377600 |
j-invariant |
L |
8.1346322809886 |
L(r)(E,1)/r! |
Ω |
0.25548841319046 |
Real period |
R |
0.66332364641306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15330g2 |
Quadratic twists by: -3 |