Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400bm |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3918432000000 = 211 · 3 · 56 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54808,-4956112] |
[a1,a2,a3,a4,a6] |
Generators |
[763:19950:1] |
Generators of the group modulo torsion |
j |
569001644066/122451 |
j-invariant |
L |
6.4792993520579 |
L(r)(E,1)/r! |
Ω |
0.31202796175491 |
Real period |
R |
5.1912810283647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999995973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2856f3 |
Quadratic twists by: 5 |