Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600by |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
347802000000000 = 210 · 3 · 59 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47208,3860412] |
[a1,a2,a3,a4,a6] |
Generators |
[17:1750:1] |
Generators of the group modulo torsion |
j |
5817678548/173901 |
j-invariant |
L |
5.0075788573221 |
L(r)(E,1)/r! |
Ω |
0.53683900232566 |
Real period |
R |
1.5546494807586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200cg1 54600be1 |
Quadratic twists by: -4 5 |