Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84270n |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1373760 |
Modular degree for the optimal curve |
Δ |
-605164190798428920 = -1 · 23 · 35 · 5 · 538 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -3 1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-983209,377026436] |
[a1,a2,a3,a4,a6] |
Generators |
[234:12523:1] |
Generators of the group modulo torsion |
j |
-1688315689/9720 |
j-invariant |
L |
5.3776984652397 |
L(r)(E,1)/r! |
Ω |
0.2911332116893 |
Real period |
R |
1.2314405123427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84270bb1 |
Quadratic twists by: 53 |