Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400bg |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-357067116000000 = -1 · 28 · 37 · 56 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -1 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2378033,1410688563] |
[a1,a2,a3,a4,a6] |
Generators |
[907:882:1] |
Generators of the group modulo torsion |
j |
-371806976516936704/89266779 |
j-invariant |
L |
7.8682174258104 |
L(r)(E,1)/r! |
Ω |
0.42858715483458 |
Real period |
R |
0.32783036310186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2856e1 |
Quadratic twists by: 5 |