Atkin-Lehner |
2- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70070bd |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
901718585217049600 = 210 · 52 · 76 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45218508,-117025489969] |
[a1,a2,a3,a4,a6] |
Generators |
[7891:128207:1] |
Generators of the group modulo torsion |
j |
86912881496074271306241/7664481510400 |
j-invariant |
L |
7.9223510261771 |
L(r)(E,1)/r! |
Ω |
0.058219772035436 |
Real period |
R |
6.8038320562004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000744 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1430h2 |
Quadratic twists by: -7 |