Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
73800bt |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-80700300000000 = -1 · 28 · 39 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -6 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13500,742500] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:1026:1] |
Generators of the group modulo torsion |
j |
-138240/41 |
j-invariant |
L |
6.103034678006 |
L(r)(E,1)/r! |
Ω |
0.57704034878879 |
Real period |
R |
2.6441108886781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73800k1 73800a1 |
Quadratic twists by: -3 5 |