Atkin-Lehner |
2- 3+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
100464ba |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1858560 |
Modular degree for the optimal curve |
Δ |
-997564315742921472 = -1 · 28 · 3 · 711 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ -3 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-205661,-59913807] |
[a1,a2,a3,a4,a6] |
Generators |
[84701549253:16823566226350:2146689] |
Generators of the group modulo torsion |
j |
-3757869446429630464/3896735608370787 |
j-invariant |
L |
7.34159059175 |
L(r)(E,1)/r! |
Ω |
0.10763681109478 |
Real period |
R |
17.051765369761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25116h1 |
Quadratic twists by: -4 |