Atkin-Lehner |
2- 3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494bx |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
12976128 |
Modular degree for the optimal curve |
Δ |
-9.1302630680164E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36047939,-83308230871] |
[a1,a2,a3,a4,a6] |
Generators |
[300793206:1844257744925:8] |
Generators of the group modulo torsion |
j |
-7106201057490374374506217/1252436634844495254 |
j-invariant |
L |
9.3572702855766 |
L(r)(E,1)/r! |
Ω |
0.030806677206722 |
Real period |
R |
13.806437632729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498s1 |
Quadratic twists by: -3 |