Atkin-Lehner |
5+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
99715f |
Isogeny class |
Conductor |
99715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
6323208448865 = 5 · 710 · 112 · 37 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-453619,117555897] |
[a1,a2,a3,a4,a6] |
Generators |
[133550:17174753:8] |
Generators of the group modulo torsion |
j |
87742055922617881/53746385 |
j-invariant |
L |
4.9400815537588 |
L(r)(E,1)/r! |
Ω |
0.62109365169174 |
Real period |
R |
7.9538432354223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14245f1 |
Quadratic twists by: -7 |