Atkin-Lehner |
2+ 3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350bh |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4700160 |
Modular degree for the optimal curve |
Δ |
55466202365952000 = 220 · 3 · 53 · 7 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44078871,-112643973062] |
[a1,a2,a3,a4,a6] |
Generators |
[11849891599650102326931736946375:2674182939345384587533555271311996:227699118282292691837890625] |
Generators of the group modulo torsion |
j |
75771358180611955873548893/443729618927616 |
j-invariant |
L |
5.6161114596798 |
L(r)(E,1)/r! |
Ω |
0.058592488091664 |
Real period |
R |
47.925183265012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70350cu1 |
Quadratic twists by: 5 |