Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970by |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-18327684325500 = -1 · 22 · 32 · 53 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3325,-190915] |
[a1,a2,a3,a4,a6] |
Generators |
[334:1039:8] |
Generators of the group modulo torsion |
j |
2294744759/10345500 |
j-invariant |
L |
10.159157239266 |
L(r)(E,1)/r! |
Ω |
0.34790385439704 |
Real period |
R |
2.4334206875685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270f1 |
Quadratic twists by: -11 |