Atkin-Lehner |
2- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
31150be |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
48640 |
Modular degree for the optimal curve |
Δ |
-285802496000 = -1 · 219 · 53 · 72 · 89 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 1 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13573,603531] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-1188:1] |
Generators of the group modulo torsion |
j |
-2212296061660901/2286419968 |
j-invariant |
L |
7.1935277871916 |
L(r)(E,1)/r! |
Ω |
0.97023640567664 |
Real period |
R |
0.097555277102187 |
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 |
31150l1 |
Quadratic twists by: 5 |