Atkin-Lehner |
5+ 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
93275i |
Isogeny class |
Conductor |
93275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4290048 |
Modular degree for the optimal curve |
Δ |
-6965734188232421875 = -1 · 513 · 77 · 132 · 41 |
Discriminant |
Eigenvalues |
2 2 5+ 7+ -6 13- 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1022008,417798293] |
[a1,a2,a3,a4,a6] |
Generators |
[-285861579798:18163382458127:649461896] |
Generators of the group modulo torsion |
j |
-7555565886753673216/445806988046875 |
j-invariant |
L |
17.792999758722 |
L(r)(E,1)/r! |
Ω |
0.23292856268145 |
Real period |
R |
19.097056575942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18655f1 |
Quadratic twists by: 5 |