Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600fr |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-190670793075000000 = -1 · 26 · 33 · 58 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,100042,-17151588] |
[a1,a2,a3,a4,a6] |
j |
15680/27 |
j-invariant |
L |
1.0050149382841 |
L(r)(E,1)/r! |
Ω |
0.16750236915406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600ds1 117600cl1 117600hj1 |
Quadratic twists by: -4 5 -7 |