Atkin-Lehner |
2+ 3+ 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010h |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-64452125721484800 = -1 · 29 · 39 · 52 · 136 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,53526,-11259532] |
[a1,a2,a3,a4,a6] |
Generators |
[487:-11651:1] [227:3429:1] |
Generators of the group modulo torsion |
j |
861632803834893/3274507225600 |
j-invariant |
L |
7.7404656562372 |
L(r)(E,1)/r! |
Ω |
0.17721229065439 |
Real period |
R |
1.8199606875585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62010bd1 |
Quadratic twists by: -3 |