Atkin-Lehner |
3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
36135g |
Isogeny class |
Conductor |
36135 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3024000 |
Modular degree for the optimal curve |
Δ |
2.2506781184878E+23 |
Discriminant |
Eigenvalues |
0 3- 5- 2 11+ -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-37830252,86601041010] |
[a1,a2,a3,a4,a6] |
j |
8213228143886864681795584/308734995677341600125 |
j-invariant |
L |
1.1839771077895 |
L(r)(E,1)/r! |
Ω |
0.098664758981547 |
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 |
12045d1 |
Quadratic twists by: -3 |