Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90650cf |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-9065000000 = -1 · 26 · 57 · 72 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 2 -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-463,5781] |
[a1,a2,a3,a4,a6] |
Generators |
[15:42:1] |
Generators of the group modulo torsion |
j |
-14338681/11840 |
j-invariant |
L |
8.1321743725022 |
L(r)(E,1)/r! |
Ω |
1.1909644778713 |
Real period |
R |
0.28450940833938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18130b1 90650br1 |
Quadratic twists by: 5 -7 |