Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
84270bm |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
1012 |
Product of Tamagawa factors cp |
deg |
3157440 |
Modular degree for the optimal curve |
Δ |
-5530842860145868800 = -1 · 223 · 311 · 52 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -3 -4 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,96004,112577040] |
[a1,a2,a3,a4,a6] |
Generators |
[-3322:10247:8] [-392:4036:1] |
Generators of the group modulo torsion |
j |
657300262000123/37150418534400 |
j-invariant |
L |
15.355787975635 |
L(r)(E,1)/r! |
Ω |
0.18323520276002 |
Real period |
R |
0.082809980312682 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84270f1 |
Quadratic twists by: 53 |