Atkin-Lehner |
2+ 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350h |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22416034593750 = 2 · 3 · 56 · 72 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40350,-3128250] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:145:1] |
Generators of the group modulo torsion |
j |
464998038222817/1434626214 |
j-invariant |
L |
3.9942992374024 |
L(r)(E,1)/r! |
Ω |
0.33691303958279 |
Real period |
R |
1.4819474048714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974h3 |
Quadratic twists by: 5 |