Atkin-Lehner |
2+ 3- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
62118o |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-74035028703888 = -1 · 24 · 313 · 7 · 17 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 1 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26892,1753888] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-520:1] |
Generators of the group modulo torsion |
j |
-2950357039890625/101556966672 |
j-invariant |
L |
4.517266749018 |
L(r)(E,1)/r! |
Ω |
0.61003078457286 |
Real period |
R |
0.92562270287906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20706w1 |
Quadratic twists by: -3 |