Atkin-Lehner |
3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225bg |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2688000 |
Modular degree for the optimal curve |
Δ |
-3.6679152870425E+23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 3 0 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-22196550,-49690994094] |
[a1,a2,a3,a4,a6] |
Generators |
[18830:2491762:1] |
Generators of the group modulo torsion |
j |
-106177523183250079744/32201176731237675 |
j-invariant |
L |
4.6486382687316 |
L(r)(E,1)/r! |
Ω |
0.034243980745575 |
Real period |
R |
3.3937630552282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12075q1 7245r1 |
Quadratic twists by: -3 5 |