Atkin-Lehner |
2- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42700n |
Isogeny class |
Conductor |
42700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
76680 |
Modular degree for the optimal curve |
Δ |
-9930418750000 = -1 · 24 · 58 · 7 · 613 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -2 0 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29000,-1906875] |
[a1,a2,a3,a4,a6] |
Generators |
[266525:7233400:343] |
Generators of the group modulo torsion |
j |
-431556526080/1588867 |
j-invariant |
L |
4.6748319547896 |
L(r)(E,1)/r! |
Ω |
0.18288342458017 |
Real period |
R |
8.5206044333583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42700h1 |
Quadratic twists by: 5 |