Atkin-Lehner |
2- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66470q |
Isogeny class |
Conductor |
66470 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-37751157916000 = -1 · 25 · 53 · 177 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 2 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10121,486679] |
[a1,a2,a3,a4,a6] |
Generators |
[341:5898:1] |
Generators of the group modulo torsion |
j |
-4750104241/1564000 |
j-invariant |
L |
15.399572094183 |
L(r)(E,1)/r! |
Ω |
0.61277463458219 |
Real period |
R |
2.5130890257282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910o1 |
Quadratic twists by: 17 |