Atkin-Lehner |
3- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
113775j |
Isogeny class |
Conductor |
113775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6753568447265625 = -1 · 32 · 510 · 374 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,31374,-3322727] |
[a1,a2,a3,a4,a6] |
Generators |
[32438:2051311:8] |
Generators of the group modulo torsion |
j |
218591495431919/432228380625 |
j-invariant |
L |
8.5404691651068 |
L(r)(E,1)/r! |
Ω |
0.21972806264715 |
Real period |
R |
9.7170896679452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22755f3 |
Quadratic twists by: 5 |