Atkin-Lehner |
2- 5- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
92720bj |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-486119833600 = -1 · 224 · 52 · 19 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- 2 4 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1320,-38732] |
[a1,a2,a3,a4,a6] |
Generators |
[70521:275600:1331] |
Generators of the group modulo torsion |
j |
-62146192681/118681600 |
j-invariant |
L |
6.2272785765494 |
L(r)(E,1)/r! |
Ω |
0.37273546892899 |
Real period |
R |
8.3534826822239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011324 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11590c1 |
Quadratic twists by: -4 |