Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200ed |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
77414400 |
Modular degree for the optimal curve |
Δ |
1.5229257584486E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-613837008,-5544169063488] |
[a1,a2,a3,a4,a6] |
j |
399671282266555297146121/23795714975760000000 |
j-invariant |
L |
1.2177542623549 |
L(r)(E,1)/r! |
Ω |
0.030443861482803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650cq1 21840ce1 |
Quadratic twists by: -4 5 |