Atkin-Lehner |
2+ 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768j |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-11622350016 = -1 · 26 · 33 · 173 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 -3 -5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,203,4999] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-629:8] [42:293:1] |
Generators of the group modulo torsion |
j |
14384365568/181599219 |
j-invariant |
L |
8.6706032033706 |
L(r)(E,1)/r! |
Ω |
0.94102326713839 |
Real period |
R |
1.5356692910323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768dn1 1887c1 |
Quadratic twists by: -4 8 |