Atkin-Lehner |
2+ 3+ 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330b |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
66772992 |
Modular degree for the optimal curve |
Δ |
-3.1319629003791E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,361707780,-8092574947504] |
[a1,a2,a3,a4,a6] |
j |
265892427737788344928520877/1591202001920000000000000 |
j-invariant |
L |
2.3736876454293 |
L(r)(E,1)/r! |
Ω |
0.018544435028599 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93330ba1 |
Quadratic twists by: -3 |