Atkin-Lehner |
2+ 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042k |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39813120 |
Modular degree for the optimal curve |
Δ |
2.1621660133678E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15141554950,-717146114477036] |
[a1,a2,a3,a4,a6] |
j |
3263224124812796801735447265625/1837810787484672 |
j-invariant |
L |
0.054439850948128 |
L(r)(E,1)/r! |
Ω |
0.013609962714682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fn1 6006o1 |
Quadratic twists by: -3 -7 |