Atkin-Lehner |
5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515f |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
513216 |
Modular degree for the optimal curve |
Δ |
1607569033642578125 = 511 · 76 · 234 |
Discriminant |
Eigenvalues |
2 0 5+ 7+ 5 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1421423,-649419841] |
[a1,a2,a3,a4,a6] |
j |
1134964776505135104/5744580078125 |
j-invariant |
L |
4.4258940457527 |
L(r)(E,1)/r! |
Ω |
0.13830918892977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92575x1 129605bf1 18515s1 |
Quadratic twists by: 5 -7 -23 |