Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700bb |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
243000 |
Modular degree for the optimal curve |
Δ |
-77505793750000 = -1 · 24 · 58 · 7 · 116 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5042,402213] |
[a1,a2,a3,a4,a6] |
j |
1280/7 |
j-invariant |
L |
1.3225274908947 |
L(r)(E,1)/r! |
Ω |
0.44084249218722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84700s1 700i1 |
Quadratic twists by: 5 -11 |