Atkin-Lehner |
2+ 3+ 7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606a |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
69496178777206272 = 29 · 33 · 710 · 13 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-145362,-17115052] |
[a1,a2,a3,a4,a6] |
Generators |
[-24155:253518:125] |
Generators of the group modulo torsion |
j |
12580974949501834875/2573932547303936 |
j-invariant |
L |
4.4521674232745 |
L(r)(E,1)/r! |
Ω |
0.24801874479216 |
Real period |
R |
8.975465598198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60606s2 |
Quadratic twists by: -3 |