Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680cr |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-675164160 = -1 · 212 · 34 · 5 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,219,-45] |
[a1,a2,a3,a4,a6] |
Generators |
[6:39:1] |
Generators of the group modulo torsion |
j |
282300416/164835 |
j-invariant |
L |
7.9147322761047 |
L(r)(E,1)/r! |
Ω |
0.95168617760034 |
Real period |
R |
2.0791339763931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6105d1 |
Quadratic twists by: -4 |