Atkin-Lehner |
3- 7- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
100233k |
Isogeny class |
Conductor |
100233 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-58480242219 = -1 · 37 · 75 · 37 · 43 |
Discriminant |
Eigenvalues |
-2 3- -1 7- -6 -7 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3783,90310] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:31:1] [55:-221:1] |
Generators of the group modulo torsion |
j |
-8213064011776/80219811 |
j-invariant |
L |
4.9203398633898 |
L(r)(E,1)/r! |
Ω |
1.1177694493384 |
Real period |
R |
0.22009636544439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33411b1 |
Quadratic twists by: -3 |