Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90300bc |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
-105840206718750000 = -1 · 24 · 38 · 510 · 74 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 1 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1560833,750198588] |
[a1,a2,a3,a4,a6] |
Generators |
[664:2646:1] |
Generators of the group modulo torsion |
j |
-2691369212723200/677377323 |
j-invariant |
L |
8.8366894702588 |
L(r)(E,1)/r! |
Ω |
0.32664991596047 |
Real period |
R |
1.6907798387871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90300bb1 |
Quadratic twists by: 5 |