Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61370h |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-83463200 = -1 · 25 · 52 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3 5+ 2 1 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-115,-619] |
[a1,a2,a3,a4,a6] |
Generators |
[381:362:27] |
Generators of the group modulo torsion |
j |
-468201249/231200 |
j-invariant |
L |
8.5354902053051 |
L(r)(E,1)/r! |
Ω |
0.71193874533205 |
Real period |
R |
2.9972698709292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61370r1 |
Quadratic twists by: -19 |