Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104g |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
318489600 |
Modular degree for the optimal curve |
Δ |
3.708941700005E+25 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 2 -2 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-198402929715,34014981169580434] |
[a1,a2,a3,a4,a6] |
j |
1375088009512735250/59049 |
j-invariant |
L |
1.1213375596735 |
L(r)(E,1)/r! |
Ω |
0.035041778085521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60552d1 40368l1 121104v1 |
Quadratic twists by: -4 -3 29 |