Atkin-Lehner |
3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
22995g |
Isogeny class |
Conductor |
22995 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12000 |
Modular degree for the optimal curve |
Δ |
-135969435 = -1 · 36 · 5 · 7 · 732 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ -3 -5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-237,1512] |
[a1,a2,a3,a4,a6] |
Generators |
[15:36:1] |
Generators of the group modulo torsion |
j |
-2019487744/186515 |
j-invariant |
L |
2.2081783423421 |
L(r)(E,1)/r! |
Ω |
1.8021535426533 |
Real period |
R |
0.61264989083311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2555b1 114975bd1 |
Quadratic twists by: -3 5 |