Atkin-Lehner |
2+ 3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
61320l |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
3066000 = 24 · 3 · 53 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 -2 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36,-15] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:9:1] |
Generators of the group modulo torsion |
j |
331527424/191625 |
j-invariant |
L |
7.1155416667756 |
L(r)(E,1)/r! |
Ω |
2.1263685799011 |
Real period |
R |
1.6731675152649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122640f1 |
Quadratic twists by: -4 |