Atkin-Lehner |
2- 3- 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
92628c |
Isogeny class |
Conductor |
92628 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-1815904136304 = -1 · 24 · 312 · 31 · 832 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -6 2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,807,-64231] |
[a1,a2,a3,a4,a6] |
Generators |
[35:83:1] |
Generators of the group modulo torsion |
j |
4983067904/155684511 |
j-invariant |
L |
7.3314037288685 |
L(r)(E,1)/r! |
Ω |
0.40293746882285 |
Real period |
R |
1.516241002575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30876a1 |
Quadratic twists by: -3 |