Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550w |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-8731800 = -1 · 23 · 34 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 3 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4,-142] |
[a1,a2,a3,a4,a6] |
Generators |
[6:7:1] |
Generators of the group modulo torsion |
j |
397535/349272 |
j-invariant |
L |
4.2599056771912 |
L(r)(E,1)/r! |
Ω |
1.0810006375339 |
Real period |
R |
0.49258824755523 |
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 |
92400ef1 34650cu1 11550cb1 80850t1 |
Quadratic twists by: -4 -3 5 -7 |