Atkin-Lehner |
2+ 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51240g |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-680539345920 = -1 · 210 · 36 · 5 · 72 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3736,-97696] |
[a1,a2,a3,a4,a6] |
Generators |
[92:588:1] |
Generators of the group modulo torsion |
j |
-5633270409316/664589205 |
j-invariant |
L |
7.012049747463 |
L(r)(E,1)/r! |
Ω |
0.30331283134957 |
Real period |
R |
1.9265175045666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480a2 |
Quadratic twists by: -4 |