Atkin-Lehner |
2+ 3+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31122c |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-466209302832 = -1 · 24 · 33 · 72 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1797,44485] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:191:1] [-18:-257:1] |
Generators of the group modulo torsion |
j |
-23776072468875/17267011216 |
j-invariant |
L |
6.1998897091138 |
L(r)(E,1)/r! |
Ω |
0.86130430825184 |
Real period |
R |
0.44989105837178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31122r2 |
Quadratic twists by: -3 |