Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120j |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1779557351040000 = 210 · 310 · 54 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146667,-21524074] |
[a1,a2,a3,a4,a6] |
Generators |
[2302:108810:1] |
Generators of the group modulo torsion |
j |
467405107277476/2383880625 |
j-invariant |
L |
7.4391082082477 |
L(r)(E,1)/r! |
Ω |
0.24403368846005 |
Real period |
R |
3.8104924441577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000366 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26040i2 |
Quadratic twists by: -3 |