Atkin-Lehner |
11- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
76109f |
Isogeny class |
Conductor |
76109 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
261800 |
Modular degree for the optimal curve |
Δ |
-2088399846716909 = -1 · 116 · 17 · 375 |
Discriminant |
Eigenvalues |
1 0 3 1 11- 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20653,-2472618] |
[a1,a2,a3,a4,a6] |
Generators |
[68472542:231392168:357911] |
Generators of the group modulo torsion |
j |
-549957165057/1178847269 |
j-invariant |
L |
9.2081054670307 |
L(r)(E,1)/r! |
Ω |
0.18660767079131 |
Real period |
R |
9.8689463556456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
629d1 |
Quadratic twists by: -11 |