Atkin-Lehner |
2- 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320bg |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-6.204222703827E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14118864,378412134336] |
[a1,a2,a3,a4,a6] |
j |
75991146714893572533071/15147028085515223040000 |
j-invariant |
L |
1.7310080255152 |
L(r)(E,1)/r! |
Ω |
0.048083556264415 |
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 |
4290y1 102960eg1 |
Quadratic twists by: -4 -3 |