Atkin-Lehner |
3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33489b |
Isogeny class |
Conductor |
33489 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8880 |
Modular degree for the optimal curve |
Δ |
-373837707 = -1 · 33 · 614 |
Discriminant |
Eigenvalues |
0 3+ 0 -4 0 -7 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,930] |
[a1,a2,a3,a4,a6] |
Generators |
[20:94:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
2.4743758508606 |
L(r)(E,1)/r! |
Ω |
1.3463533706075 |
Real period |
R |
2.7567530615057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33489b2 33489a1 |
Quadratic twists by: -3 61 |