Atkin-Lehner |
2- 3+ 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950bk |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-205932375000000 = -1 · 26 · 34 · 59 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12013,-861469] |
[a1,a2,a3,a4,a6] |
Generators |
[221:2598:1] |
Generators of the group modulo torsion |
j |
-98163574397/105437376 |
j-invariant |
L |
5.5707916819476 |
L(r)(E,1)/r! |
Ω |
0.21872458841916 |
Real period |
R |
2.1224529146336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70950t1 |
Quadratic twists by: 5 |