Atkin-Lehner |
2- 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350cz |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
1134604800 = 29 · 33 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-573,4977] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-45:1] |
Generators of the group modulo torsion |
j |
832328832505/45384192 |
j-invariant |
L |
11.639988684422 |
L(r)(E,1)/r! |
Ω |
1.5231967092875 |
Real period |
R |
0.14151510745979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350q1 |
Quadratic twists by: 5 |