Atkin-Lehner |
2+ 3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470b |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-16578442396200960 = -1 · 212 · 39 · 5 · 114 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10650,6177716] |
[a1,a2,a3,a4,a6] |
Generators |
[92:2770:1] |
Generators of the group modulo torsion |
j |
6786694572237/842272133120 |
j-invariant |
L |
4.4830396532481 |
L(r)(E,1)/r! |
Ω |
0.30036254210155 |
Real period |
R |
1.8656785654417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52470v1 |
Quadratic twists by: -3 |