Atkin-Lehner |
2- 3+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
90300t |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-3506258700000000 = -1 · 28 · 32 · 58 · 72 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2667,2847537] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:350:1] [63:-1806:1] |
Generators of the group modulo torsion |
j |
20971520/35062587 |
j-invariant |
L |
8.963049492068 |
L(r)(E,1)/r! |
Ω |
0.34849727125434 |
Real period |
R |
0.23814016878975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90300bo1 |
Quadratic twists by: 5 |