Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23100d |
Isogeny class |
Conductor |
23100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-88429687500000000 = -1 · 28 · 3 · 515 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59533,-15341063] |
[a1,a2,a3,a4,a6] |
Generators |
[432:6275:1] |
Generators of the group modulo torsion |
j |
-5833703071744/22107421875 |
j-invariant |
L |
4.0344781876033 |
L(r)(E,1)/r! |
Ω |
0.13979956595721 |
Real period |
R |
4.8098363300573 |
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 |
92400gv2 69300ba2 4620k2 |
Quadratic twists by: -4 -3 5 |