Atkin-Lehner |
2- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
9394i |
Isogeny class |
Conductor |
9394 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
188701524088 = 23 · 74 · 115 · 61 |
Discriminant |
Eigenvalues |
2- 1 2 7+ 11- -3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5247,144353] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:561:1] |
Generators of the group modulo torsion |
j |
15975780240519793/188701524088 |
j-invariant |
L |
8.1029129091157 |
L(r)(E,1)/r! |
Ω |
1.0129110762185 |
Real period |
R |
0.26665430294126 |
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 |
75152k1 84546i1 65758bb1 103334r1 |
Quadratic twists by: -4 -3 -7 -11 |