Atkin-Lehner |
2+ 3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280j |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
325401658092887040 = 210 · 37 · 5 · 78 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176456,-7851420] |
[a1,a2,a3,a4,a6] |
Generators |
[-329:3834:1] |
Generators of the group modulo torsion |
j |
593383556499001636/317775056731335 |
j-invariant |
L |
7.7577123198317 |
L(r)(E,1)/r! |
Ω |
0.24776952700165 |
Real period |
R |
2.2364425247371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59640b2 |
Quadratic twists by: -4 |