Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11172h |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4.3116308457417E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9028364,3039136584] |
[a1,a2,a3,a4,a6] |
Generators |
[12210463449230409105090:939196052542110913398303:1713843316584042344] |
Generators of the group modulo torsion |
j |
2702232642991073488/1431572558302971 |
j-invariant |
L |
3.5077471241478 |
L(r)(E,1)/r! |
Ω |
0.10004232328612 |
Real period |
R |
35.062631583594 |
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 |
44688dr2 33516j2 1596c2 |
Quadratic twists by: -4 -3 -7 |