Atkin-Lehner |
2- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
36256n |
Isogeny class |
Conductor |
36256 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
318976 |
Modular degree for the optimal curve |
Δ |
-846804570681344 = -1 · 212 · 117 · 1032 |
Discriminant |
Eigenvalues |
2- -1 -1 -2 11- -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1512941,716783077] |
[a1,a2,a3,a4,a6] |
Generators |
[20253:-49852:27] [711:44:1] |
Generators of the group modulo torsion |
j |
-93503965109706740224/206739397139 |
j-invariant |
L |
6.5503503554449 |
L(r)(E,1)/r! |
Ω |
0.43178476499959 |
Real period |
R |
0.54180022799849 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36256i1 72512v1 |
Quadratic twists by: -4 8 |