Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675w |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
11289600 |
Modular degree for the optimal curve |
Δ |
-1.5942806159584E+25 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 1 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-44580675,-223675562219] |
[a1,a2,a3,a4,a6] |
Generators |
[6896690:6403286921:8] |
Generators of the group modulo torsion |
j |
-860232957686415069184/1399642790416171875 |
j-invariant |
L |
12.738499894073 |
L(r)(E,1)/r! |
Ω |
0.027655466308944 |
Real period |
R |
5.7576772308578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15225f1 9135h1 |
Quadratic twists by: -3 5 |