Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810bt |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-43555466888640 = -1 · 26 · 37 · 5 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8157,143518] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-678:1] |
Generators of the group modulo torsion |
j |
510273943271/370215360 |
j-invariant |
L |
5.2863535837616 |
L(r)(E,1)/r! |
Ω |
0.40795865257979 |
Real period |
R |
0.92557586943338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430du1 690b1 |
Quadratic twists by: -3 -7 |