Atkin-Lehner |
2+ 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31080f |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
30179550240000 = 28 · 39 · 54 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-735140,-242361900] |
[a1,a2,a3,a4,a6] |
Generators |
[3014330:131109500:1331] |
Generators of the group modulo torsion |
j |
171630512561581335376/117888868125 |
j-invariant |
L |
5.6155994000009 |
L(r)(E,1)/r! |
Ω |
0.16304482157883 |
Real period |
R |
8.6105148044919 |
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 |
62160ba2 93240bp2 |
Quadratic twists by: -4 -3 |