Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7770m |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
38638656000 = 29 · 32 · 53 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16725331,26320565969] |
[a1,a2,a3,a4,a6] |
Generators |
[2333:1164:1] |
Generators of the group modulo torsion |
j |
517425559361898728438440369/38638656000 |
j-invariant |
L |
5.3323906635281 |
L(r)(E,1)/r! |
Ω |
0.44120516826046 |
Real period |
R |
0.67144255566987 |
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 |
62160cc2 23310w2 38850bd2 54390cz2 |
Quadratic twists by: -4 -3 5 -7 |