Atkin-Lehner |
2+ 3- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950n |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1400832 |
Modular degree for the optimal curve |
Δ |
399881011200000000 = 224 · 3 · 58 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-828626,288658148] |
[a1,a2,a3,a4,a6] |
j |
4026971918382673681/25592384716800 |
j-invariant |
L |
0.60271417712114 |
L(r)(E,1)/r! |
Ω |
0.30135708497159 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190l1 |
Quadratic twists by: 5 |