Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360ej |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
83865600 |
Modular degree for the optimal curve |
Δ |
-5.3537777252476E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181183641,-3643311773520] |
[a1,a2,a3,a4,a6] |
j |
-349439858058052607328256/2844147488104248046875 |
j-invariant |
L |
1.6299605151386 |
L(r)(E,1)/r! |
Ω |
0.018110661753751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32340bb1 18480dd1 |
Quadratic twists by: -4 -7 |