Atkin-Lehner |
2+ 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66792i |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-22173740478692352 = -1 · 210 · 312 · 116 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29968,6870492] |
[a1,a2,a3,a4,a6] |
Generators |
[4672149313:-170615896290:53582633] |
Generators of the group modulo torsion |
j |
1640689628/12223143 |
j-invariant |
L |
7.9877557160093 |
L(r)(E,1)/r! |
Ω |
0.27791554927361 |
Real period |
R |
14.370832680658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
552d4 |
Quadratic twists by: -11 |