Atkin-Lehner |
2+ 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950ba |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
2331648 |
Modular degree for the optimal curve |
Δ |
1381293103680000000 = 212 · 311 · 57 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3197776,2200007198] |
[a1,a2,a3,a4,a6] |
Generators |
[-458:59966:1] |
Generators of the group modulo torsion |
j |
231444895577963317489/88402758635520 |
j-invariant |
L |
6.3402397750374 |
L(r)(E,1)/r! |
Ω |
0.26553603371063 |
Real period |
R |
1.085324326888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390q1 |
Quadratic twists by: 5 |