Atkin-Lehner |
2- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
14350v |
Isogeny class |
Conductor |
14350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1836800 = -1 · 28 · 52 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -2 -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30,-83] |
[a1,a2,a3,a4,a6] |
j |
-115745625/73472 |
j-invariant |
L |
7.9531290569341 |
L(r)(E,1)/r! |
Ω |
0.99414113211676 |
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 |
114800bm1 129150bc1 14350h1 100450bo1 |
Quadratic twists by: -4 -3 5 -7 |