Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515g |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
46368 |
Modular degree for the optimal curve |
Δ |
-134303339756915 = -1 · 5 · 73 · 238 |
Discriminant |
Eigenvalues |
0 1 5+ 7- 3 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8111,-627164] |
[a1,a2,a3,a4,a6] |
Generators |
[185708054510:3029080040634:620650477] |
Generators of the group modulo torsion |
j |
-753664/1715 |
j-invariant |
L |
4.2546586295461 |
L(r)(E,1)/r! |
Ω |
0.23517505797986 |
Real period |
R |
18.091453515918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
92575a1 129605v1 18515j1 |
Quadratic twists by: 5 -7 -23 |