Atkin-Lehner |
2+ 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
61800c |
Isogeny class |
Conductor |
61800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-28644300000000 = -1 · 28 · 33 · 58 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 0 5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149833,-22274963] |
[a1,a2,a3,a4,a6] |
Generators |
[1353:47434:1] |
Generators of the group modulo torsion |
j |
-3720052218880/286443 |
j-invariant |
L |
6.3055361580821 |
L(r)(E,1)/r! |
Ω |
0.12132923025895 |
Real period |
R |
6.4963077577575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600p1 61800n1 |
Quadratic twists by: -4 5 |