Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550cb |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-136434375000 = -1 · 23 · 34 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -3 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,112,-17719] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1507:1] |
Generators of the group modulo torsion |
j |
397535/349272 |
j-invariant |
L |
6.0132206397944 |
L(r)(E,1)/r! |
Ω |
0.48343818184928 |
Real period |
R |
0.34551244178109 |
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 |
92400hu1 34650ca1 11550w1 80850hi1 |
Quadratic twists by: -4 -3 5 -7 |