Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400cx |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
30600504900000000 = 28 · 32 · 58 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-971908,369023812] |
[a1,a2,a3,a4,a6] |
Generators |
[528:1666:1] [-648:26950:1] |
Generators of the group modulo torsion |
j |
25382806462819024/7650126225 |
j-invariant |
L |
9.0907902858373 |
L(r)(E,1)/r! |
Ω |
0.36335908877276 |
Real period |
R |
1.0424479262578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999598 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280o2 |
Quadratic twists by: 5 |