Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515u |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-134303339756915 = -1 · 5 · 73 · 238 |
Discriminant |
Eigenvalues |
2 3 5- 7- 1 7 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6877,-599225] |
[a1,a2,a3,a4,a6] |
j |
-242970624/907235 |
j-invariant |
L |
12.957909271975 |
L(r)(E,1)/r! |
Ω |
0.23996128281435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92575m1 129605s1 805d1 |
Quadratic twists by: 5 -7 -23 |