Atkin-Lehner |
2- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
36112i |
Isogeny class |
Conductor |
36112 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1108864238092288 = -1 · 218 · 375 · 61 |
Discriminant |
Eigenvalues |
2- 2 -4 0 3 2 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165960,-26016784] |
[a1,a2,a3,a4,a6] |
Generators |
[2429:117882:1] |
Generators of the group modulo torsion |
j |
-123417475726848841/270718808128 |
j-invariant |
L |
5.9112570384633 |
L(r)(E,1)/r! |
Ω |
0.118252792585 |
Real period |
R |
4.9988308176426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4514b1 |
Quadratic twists by: -4 |