Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810j |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
1.9757522001358E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1469633,-114164427] |
[a1,a2,a3,a4,a6] |
Generators |
[14826:1791831:1] |
Generators of the group modulo torsion |
j |
8698983351369247/4896098136000 |
j-invariant |
L |
3.6902612528383 |
L(r)(E,1)/r! |
Ω |
0.14758392537854 |
Real period |
R |
6.2511232903124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430ex1 33810bs1 |
Quadratic twists by: -3 -7 |