Atkin-Lehner |
2- 3- 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010dh |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
21751296 |
Modular degree for the optimal curve |
Δ |
-2.8035848613281E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15788240,8121615872] |
[a1,a2,a3,a4,a6] |
j |
75498886940328500159/48632812500000000 |
j-invariant |
L |
8.2824695663887 |
L(r)(E,1)/r! |
Ω |
0.060900509832023 |
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 |
122010by1 |
Quadratic twists by: -7 |