Atkin-Lehner |
2+ 3- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
62040k |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
5578395886023840000 = 28 · 310 · 54 · 112 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196821900,1062750780000] |
[a1,a2,a3,a4,a6] |
Generators |
[7560:83160:1] |
Generators of the group modulo torsion |
j |
3293851448453374588701873616/21790608929780625 |
j-invariant |
L |
6.3670196024748 |
L(r)(E,1)/r! |
Ω |
0.16513413704018 |
Real period |
R |
1.9278326445462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000274 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124080n2 |
Quadratic twists by: -4 |