Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gj |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2258860800 = -1 · 28 · 3 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59453,-5559903] |
[a1,a2,a3,a4,a6] |
Generators |
[84970003:100987286:300763] |
Generators of the group modulo torsion |
j |
-30866268160/3 |
j-invariant |
L |
4.2080865745954 |
L(r)(E,1)/r! |
Ω |
0.15287114000195 |
Real period |
R |
13.763508843207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700bl2 58800ki2 1200o2 |
Quadratic twists by: -4 5 -7 |