Atkin-Lehner |
2- 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350cy |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
759780000000 = 28 · 34 · 57 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-99063,11992617] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:4869:1] |
Generators of the group modulo torsion |
j |
6880791336690601/48625920 |
j-invariant |
L |
10.735038821665 |
L(r)(E,1)/r! |
Ω |
0.8038151986805 |
Real period |
R |
1.6693885047383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000722 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14070b1 |
Quadratic twists by: 5 |