Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
60600b |
Isogeny class |
Conductor |
60600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-312953928750000 = -1 · 24 · 35 · 57 · 1013 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -1 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38883,-3058488] |
[a1,a2,a3,a4,a6] |
Generators |
[371:5783:1] |
Generators of the group modulo torsion |
j |
-26006036555776/1251815715 |
j-invariant |
L |
3.9588979402634 |
L(r)(E,1)/r! |
Ω |
0.16951609660271 |
Real period |
R |
5.8385280503785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121200bc1 12120p1 |
Quadratic twists by: -4 5 |