Atkin-Lehner |
2- 3+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224bg |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5073778883145240576 = 212 · 314 · 72 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1680152,831770160] |
[a1,a2,a3,a4,a6] |
Generators |
[354:16770:1] |
Generators of the group modulo torsion |
j |
128058892751492323993/1238715547642881 |
j-invariant |
L |
5.9227344776768 |
L(r)(E,1)/r! |
Ω |
0.24366976239235 |
Real period |
R |
6.0765997593461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993649 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4389j2 |
Quadratic twists by: -4 |