Atkin-Lehner |
2- 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184bz |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-3180096885030912 = -1 · 216 · 34 · 7 · 112 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4928,-2711552] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2146:1] |
Generators of the group modulo torsion |
j |
3230633786687/776390841072 |
j-invariant |
L |
8.2264165178272 |
L(r)(E,1)/r! |
Ω |
0.21099172440594 |
Real period |
R |
2.4368303200657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398bf1 |
Quadratic twists by: -4 |