Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400br |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
14191588800 = 26 · 36 · 52 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 -1 -3 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-688,4162] |
[a1,a2,a3,a4,a6] |
Generators |
[3:46:1] [31:108:1] |
Generators of the group modulo torsion |
j |
22542399040/8869743 |
j-invariant |
L |
8.1527855741711 |
L(r)(E,1)/r! |
Ω |
1.1387024320478 |
Real period |
R |
1.1932859340725 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400di1 55200be1 110400ez1 |
Quadratic twists by: -4 8 5 |