Atkin-Lehner |
2+ 3+ 5- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
33990f |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18176 |
Modular degree for the optimal curve |
Δ |
-543840000 = -1 · 28 · 3 · 54 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-62,-1164] |
[a1,a2,a3,a4,a6] |
j |
-27027009001/543840000 |
j-invariant |
L |
1.4172760306471 |
L(r)(E,1)/r! |
Ω |
0.70863801531968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101970bx1 |
Quadratic twists by: -3 |