Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944cw |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
1140801536 = 214 · 74 · 29 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ -2 5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,-29] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:41:1] |
Generators of the group modulo torsion |
j |
50176/29 |
j-invariant |
L |
3.955715683635 |
L(r)(E,1)/r! |
Ω |
1.3105510005111 |
Real period |
R |
3.0183607353205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944j1 22736c1 90944ed1 |
Quadratic twists by: -4 8 -7 |