Atkin-Lehner |
2- 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
15168h |
Isogeny class |
Conductor |
15168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
409536 = 26 · 34 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8532,-300510] |
[a1,a2,a3,a4,a6] |
Generators |
[-513565537367480:299235953359:9690843968000] |
Generators of the group modulo torsion |
j |
1073364380875072/6399 |
j-invariant |
L |
4.9512423142829 |
L(r)(E,1)/r! |
Ω |
0.49674396715298 |
Real period |
R |
19.93478589246 |
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 |
15168p1 7584c2 45504bw1 |
Quadratic twists by: -4 8 -3 |