Atkin-Lehner |
2- 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080ce |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
290001826713600 = 212 · 312 · 52 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-709561,229817735] |
[a1,a2,a3,a4,a6] |
Generators |
[-865:14040:1] [4042:-5913:8] |
Generators of the group modulo torsion |
j |
9645696383080717504/70801227225 |
j-invariant |
L |
11.212378495111 |
L(r)(E,1)/r! |
Ω |
0.49035177937172 |
Real period |
R |
1.9054991006386 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70080bl2 35040m1 |
Quadratic twists by: -4 8 |