Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960l |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-17338071306240 = -1 · 212 · 315 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 5 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-159852,24600256] |
[a1,a2,a3,a4,a6] |
Generators |
[230:-36:1] |
Generators of the group modulo torsion |
j |
-151283115210304/5806485 |
j-invariant |
L |
7.1371435803099 |
L(r)(E,1)/r! |
Ω |
0.64888555952949 |
Real period |
R |
1.3748848845372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960r1 28320v1 |
Quadratic twists by: -4 -3 |