Atkin-Lehner |
3+ 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33201b |
Isogeny class |
Conductor |
33201 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
42368 |
Modular degree for the optimal curve |
Δ |
-21613851 = -1 · 33 · 72 · 17 · 312 |
Discriminant |
Eigenvalues |
0 3+ -3 7+ -5 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-37614,2807840] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-109:1] |
Generators of the group modulo torsion |
j |
-217975914625204224/800513 |
j-invariant |
L |
2.3865519430939 |
L(r)(E,1)/r! |
Ω |
1.4365994226835 |
Real period |
R |
0.20765635025073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33201a1 |
Quadratic twists by: -3 |