Atkin-Lehner |
2+ 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550bf |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-26301240000000 = -1 · 29 · 33 · 57 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -5 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30251,-2042602] |
[a1,a2,a3,a4,a6] |
j |
-195930594145441/1683279360 |
j-invariant |
L |
3.2563883514602 |
L(r)(E,1)/r! |
Ω |
0.18091046327884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910ba1 |
Quadratic twists by: 5 |