Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350m |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
102534897937500000 = 25 · 314 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-189200,-27756000] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:1233:1] |
Generators of the group modulo torsion |
j |
1118063669939/153055008 |
j-invariant |
L |
2.6597585584501 |
L(r)(E,1)/r! |
Ω |
0.23098988413883 |
Real period |
R |
5.7573052784673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800ji2 22050fe2 7350cv2 7350bh2 |
Quadratic twists by: -4 -3 5 -7 |