Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61380u |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-6242069790000 = -1 · 24 · 310 · 54 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,348,-120179] |
[a1,a2,a3,a4,a6] |
Generators |
[287:4860:1] |
Generators of the group modulo torsion |
j |
399589376/535156875 |
j-invariant |
L |
6.6212778298316 |
L(r)(E,1)/r! |
Ω |
0.35077440150751 |
Real period |
R |
2.3595214621838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460h1 |
Quadratic twists by: -3 |