Atkin-Lehner |
2+ 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960c |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
815616000 = 212 · 33 · 53 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -3 -7 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-312,-1616] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:20:1] [-7:15:1] |
Generators of the group modulo torsion |
j |
30371328/7375 |
j-invariant |
L |
9.9871513469055 |
L(r)(E,1)/r! |
Ω |
1.1560453939306 |
Real period |
R |
0.71992208664023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960f1 84960bb1 |
Quadratic twists by: -4 -3 |