Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6200c |
Isogeny class |
Conductor |
6200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1937500000000 = -1 · 28 · 512 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3092,-9312] |
[a1,a2,a3,a4,a6] |
Generators |
[4:56:1] |
Generators of the group modulo torsion |
j |
817036976/484375 |
j-invariant |
L |
3.2480485210711 |
L(r)(E,1)/r! |
Ω |
0.48629023418635 |
Real period |
R |
3.3396193186006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12400h2 49600k2 55800bw2 1240d2 |
Quadratic twists by: -4 8 -3 5 |