Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200bt |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-35979264000000 = -1 · 222 · 32 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 1 5 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12808,-623888] |
[a1,a2,a3,a4,a6] |
Generators |
[1858:79914:1] |
Generators of the group modulo torsion |
j |
-3630961153/562176 |
j-invariant |
L |
5.6244334747015 |
L(r)(E,1)/r! |
Ω |
0.222488537423 |
Real period |
R |
6.3199137579414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9150l1 2928p1 |
Quadratic twists by: -4 5 |