Atkin-Lehner |
3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565g |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79833600 |
Modular degree for the optimal curve |
Δ |
-5.6404683755825E+26 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 3 11- 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5122461818,141118641574606] |
[a1,a2,a3,a4,a6] |
j |
-426297217929651309023523/16175874365234375 |
j-invariant |
L |
1.7471141806268 |
L(r)(E,1)/r! |
Ω |
0.048530947035153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565q1 8415b1 |
Quadratic twists by: -3 -11 |