Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360bl |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
-2578111244016000000 = -1 · 210 · 3 · 56 · 79 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,342200,5479552] |
[a1,a2,a3,a4,a6] |
Generators |
[84:5900:1] |
Generators of the group modulo torsion |
j |
107245762628/62390625 |
j-invariant |
L |
6.0631640895798 |
L(r)(E,1)/r! |
Ω |
0.15472543857639 |
Real period |
R |
3.2655501415924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999263864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680dk1 129360bv1 |
Quadratic twists by: -4 -7 |