Atkin-Lehner |
2+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
75118g |
Isogeny class |
Conductor |
75118 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
-672675079616 = -1 · 26 · 236 · 71 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 -6 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-628,40080] |
[a1,a2,a3,a4,a6] |
Generators |
[32:212:1] |
Generators of the group modulo torsion |
j |
-185193/4544 |
j-invariant |
L |
2.3277032362616 |
L(r)(E,1)/r! |
Ω |
0.76069366135629 |
Real period |
R |
3.0599745402308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
142c1 |
Quadratic twists by: -23 |