Atkin-Lehner |
3- 7- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98049t |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
9123840 |
Modular degree for the optimal curve |
Δ |
-4.7102651882744E+21 |
Discriminant |
Eigenvalues |
1 3- 1 7- -1 5 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21252453,-37856510555] |
[a1,a2,a3,a4,a6] |
j |
-9023242638637191634489/40036593496539969 |
j-invariant |
L |
3.7959960008766 |
L(r)(E,1)/r! |
Ω |
0.035148111829343 |
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 |
14007g1 |
Quadratic twists by: -7 |