Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200bd |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-156735000000 = -1 · 26 · 36 · 57 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1342,2688] |
[a1,a2,a3,a4,a6] |
Generators |
[13:150:1] |
Generators of the group modulo torsion |
j |
267089984/156735 |
j-invariant |
L |
6.4959529441332 |
L(r)(E,1)/r! |
Ω |
0.62163119081793 |
Real period |
R |
0.87082086602598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200bp1 20640o1 |
Quadratic twists by: -4 5 |