Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550bo |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-7324297509375000 = -1 · 23 · 33 · 58 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4537,4117781] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:1952:1] |
Generators of the group modulo torsion |
j |
661003929431/468755040600 |
j-invariant |
L |
5.8926416455078 |
L(r)(E,1)/r! |
Ω |
0.32625295509447 |
Real period |
R |
0.50171036797382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400gy2 34650l2 2310i2 80850gr2 |
Quadratic twists by: -4 -3 5 -7 |