Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bb |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2710632960000 = -1 · 212 · 32 · 54 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,719,78625] |
[a1,a2,a3,a4,a6] |
Generators |
[13:300:1] |
Generators of the group modulo torsion |
j |
85184/5625 |
j-invariant |
L |
4.3495851447522 |
L(r)(E,1)/r! |
Ω |
0.61628189027462 |
Real period |
R |
0.88222313794058 |
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 |
23520bp2 47040gt1 70560bj2 117600cq2 |
Quadratic twists by: -4 8 -3 5 |