Atkin-Lehner |
3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675bh |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8195742560766796875 = -1 · 316 · 58 · 75 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ -2 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-415875,-172126094] |
[a1,a2,a3,a4,a6] |
Generators |
[796:1093:1] [1711:64228:1] |
Generators of the group modulo torsion |
j |
-27933450833920/28780659747 |
j-invariant |
L |
4.7113043259293 |
L(r)(E,1)/r! |
Ω |
0.090279112493646 |
Real period |
R |
13.046496016061 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15225k2 45675ba1 |
Quadratic twists by: -3 5 |