Atkin-Lehner |
2+ 5- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
92720g |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-2897500000000 = -1 · 28 · 510 · 19 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 -4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3780,120028] |
[a1,a2,a3,a4,a6] |
Generators |
[26:200:1] [47:220:1] |
Generators of the group modulo torsion |
j |
-23338558797136/11318359375 |
j-invariant |
L |
7.7274290677736 |
L(r)(E,1)/r! |
Ω |
0.7496092243354 |
Real period |
R |
2.0617219791009 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46360g1 |
Quadratic twists by: -4 |