Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350cp |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-139535156250 = -1 · 2 · 36 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-813,-20133] |
[a1,a2,a3,a4,a6] |
j |
-77626969/182250 |
j-invariant |
L |
5.0093666781996 |
L(r)(E,1)/r! |
Ω |
0.4174472231833 |
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 |
58800fw1 22050bp1 1470e1 7350bq1 |
Quadratic twists by: -4 -3 5 -7 |