Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680p |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-718200000 = -1 · 26 · 33 · 55 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,49,-1299] |
[a1,a2,a3,a4,a6] |
Generators |
[10580:96989:125] |
Generators of the group modulo torsion |
j |
199176704/11221875 |
j-invariant |
L |
5.9317025204974 |
L(r)(E,1)/r! |
Ω |
0.76727316192987 |
Real period |
R |
7.7308875357732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680bx1 63840cc1 |
Quadratic twists by: -4 8 |