Atkin-Lehner |
2- 3- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184cx |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-6427774746624 = -1 · 216 · 3 · 7 · 115 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -1 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3856,-78636] |
[a1,a2,a3,a4,a6] |
Generators |
[210:3168:1] |
Generators of the group modulo torsion |
j |
1547612421263/1569280944 |
j-invariant |
L |
12.274372206126 |
L(r)(E,1)/r! |
Ω |
0.40864673173969 |
Real period |
R |
1.5018316819504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13398x1 |
Quadratic twists by: -4 |