Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270ba |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
-360871262157926400 = -1 · 212 · 3 · 52 · 537 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,172695,8576727] |
[a1,a2,a3,a4,a6] |
Generators |
[392557:12094056:1331] |
Generators of the group modulo torsion |
j |
25698491351/16281600 |
j-invariant |
L |
9.6616330225745 |
L(r)(E,1)/r! |
Ω |
0.18791053885654 |
Real period |
R |
8.5693552899503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001499 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1590f1 |
Quadratic twists by: 53 |