Atkin-Lehner |
2- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36850s |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
2131920 |
Modular degree for the optimal curve |
Δ |
-8.2693962382023E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,415612,1379874781] |
[a1,a2,a3,a4,a6] |
Generators |
[-3723:982795:27] |
Generators of the group modulo torsion |
j |
812994933113975/84678617479192 |
j-invariant |
L |
11.681151037851 |
L(r)(E,1)/r! |
Ω |
0.12169670607494 |
Real period |
R |
1.7775141069048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36850q1 |
Quadratic twists by: 5 |