Atkin-Lehner |
2+ 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350p |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-2266497450000000 = -1 · 27 · 39 · 58 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,22050,-1903500] |
[a1,a2,a3,a4,a6] |
j |
3034999917815/5802233472 |
j-invariant |
L |
1.4463346026811 |
L(r)(E,1)/r! |
Ω |
0.24105576723096 |
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 |
49350cd1 |
Quadratic twists by: 5 |