Atkin-Lehner |
3+ 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
36135c |
Isogeny class |
Conductor |
36135 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1094720 |
Modular degree for the optimal curve |
Δ |
1757341571169628125 = 33 · 55 · 1111 · 73 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 11+ 4 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7586022,8041843217] |
[a1,a2,a3,a4,a6] |
j |
1788142977823338015326208/65086724858134375 |
j-invariant |
L |
2.4799413299529 |
L(r)(E,1)/r! |
Ω |
0.24799413299576 |
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 |
36135a1 |
Quadratic twists by: -3 |