Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120v |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-25294419151073280 = -1 · 212 · 39 · 5 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30195,7390683] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:2028:1] |
Generators of the group modulo torsion |
j |
153990656/1279395 |
j-invariant |
L |
9.7828739879321 |
L(r)(E,1)/r! |
Ω |
0.27577620926551 |
Real period |
R |
0.49269387758099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81120j1 6240bb1 |
Quadratic twists by: -4 13 |