Atkin-Lehner |
2+ 3- 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70110q |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2249846939534400 = 26 · 36 · 52 · 196 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-361665090,2647419916500] |
[a1,a2,a3,a4,a6] |
Generators |
[3299032564:-2256833838:300763] |
Generators of the group modulo torsion |
j |
7176553966366543302128324641/3086209793600 |
j-invariant |
L |
3.1882313230378 |
L(r)(E,1)/r! |
Ω |
0.19495456973177 |
Real period |
R |
12.26528568177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981246 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
7790j3 |
Quadratic twists by: -3 |