Atkin-Lehner |
2- 3+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
123114o |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3998266061742252 = -1 · 22 · 33 · 172 · 716 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -6 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,37547,1204487] |
[a1,a2,a3,a4,a6] |
Generators |
[15950:707843:8] |
Generators of the group modulo torsion |
j |
20255868756407375/13834830663468 |
j-invariant |
L |
8.7831047072735 |
L(r)(E,1)/r! |
Ω |
0.27738000400896 |
Real period |
R |
2.6387099754311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123114v2 |
Quadratic twists by: 17 |