Atkin-Lehner |
3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14157b |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-120505309636743603 = -1 · 39 · 118 · 134 |
Discriminant |
Eigenvalues |
0 3+ -4 1 11- 13+ 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-215622,-42001369] |
[a1,a2,a3,a4,a6] |
j |
-262766592/28561 |
j-invariant |
L |
1.3212108668141 |
L(r)(E,1)/r! |
Ω |
0.11010090556784 |
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 |
14157a1 14157d1 |
Quadratic twists by: -3 -11 |