Atkin-Lehner |
2+ 5- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
36850q |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
426384 |
Modular degree for the optimal curve |
Δ |
-52924135924495000 = -1 · 23 · 54 · 119 · 672 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16624,11038998] |
[a1,a2,a3,a4,a6] |
j |
812994933113975/84678617479192 |
j-invariant |
L |
1.6327326445591 |
L(r)(E,1)/r! |
Ω |
0.27212210742137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36850s1 |
Quadratic twists by: 5 |