Atkin-Lehner |
2+ 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640j |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1050421017523737600 = -1 · 210 · 37 · 52 · 138 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,245517,15460382] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:1820:1] [82:6012:1] |
Generators of the group modulo torsion |
j |
2192506721570876/1407135493725 |
j-invariant |
L |
10.864835488445 |
L(r)(E,1)/r! |
Ω |
0.17238051007423 |
Real period |
R |
3.9392633063663 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880q3 |
Quadratic twists by: -3 |