Atkin-Lehner |
2- 3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700n |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-237256500000000 = -1 · 28 · 3 · 59 · 13 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16708,-1108088] |
[a1,a2,a3,a4,a6] |
Generators |
[342:-5750:1] [186:1478:1] |
Generators of the group modulo torsion |
j |
-1031699216/474513 |
j-invariant |
L |
9.5238360892398 |
L(r)(E,1)/r! |
Ω |
0.20541063191164 |
Real period |
R |
2.5758257984959 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89700bb1 |
Quadratic twists by: 5 |