Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cj |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
24330240 |
Modular degree for the optimal curve |
Δ |
7.84619263684E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-570378920,-5243399930455] |
[a1,a2,a3,a4,a6] |
Generators |
[165015:66204895:1] |
Generators of the group modulo torsion |
j |
138626767243242683688529/5300196249600 |
j-invariant |
L |
10.740353833363 |
L(r)(E,1)/r! |
Ω |
0.030892900741598 |
Real period |
R |
4.8286686297395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021875 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830r1 |
Quadratic twists by: -23 |