Atkin-Lehner |
2+ 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
61800d |
Isogeny class |
Conductor |
61800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-412477920000 = -1 · 28 · 35 · 54 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 6 1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82033,9070837] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1030:1] |
Generators of the group modulo torsion |
j |
-381570513433600/2577987 |
j-invariant |
L |
6.8822384568623 |
L(r)(E,1)/r! |
Ω |
0.84464733118969 |
Real period |
R |
0.33950256529516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600q1 61800o1 |
Quadratic twists by: -4 5 |