Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400v |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5243616000 = -1 · 28 · 34 · 53 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68,-3468] |
[a1,a2,a3,a4,a6] |
Generators |
[26:108:1] |
Generators of the group modulo torsion |
j |
-1102736/163863 |
j-invariant |
L |
4.3560580652954 |
L(r)(E,1)/r! |
Ω |
0.60473601498524 |
Real period |
R |
1.8008097572192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999688 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71400ed2 |
Quadratic twists by: 5 |