Atkin-Lehner |
2+ 3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
60390o |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-122289750000 = -1 · 24 · 36 · 56 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1374,26180] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:217:1] [16:-98:1] |
Generators of the group modulo torsion |
j |
-393671672289/167750000 |
j-invariant |
L |
7.173903220259 |
L(r)(E,1)/r! |
Ω |
0.9799654785772 |
Real period |
R |
0.61004727352502 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6710f1 |
Quadratic twists by: -3 |