Atkin-Lehner |
5- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
99715k |
Isogeny class |
Conductor |
99715 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
130930469140625 = 58 · 77 · 11 · 37 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11+ 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13117,-173484] |
[a1,a2,a3,a4,a6] |
j |
2121328796049/1112890625 |
j-invariant |
L |
0.94581292717271 |
L(r)(E,1)/r! |
Ω |
0.4729064061677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14245b1 |
Quadratic twists by: -7 |