Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210p |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
231018750 = 2 · 33 · 55 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 0 3 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-534,-4562] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:67:8] [-13:14:1] |
Generators of the group modulo torsion |
j |
456076467/6250 |
j-invariant |
L |
8.8164567860121 |
L(r)(E,1)/r! |
Ω |
0.99388549661331 |
Real period |
R |
0.88706966962843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999940107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210cf1 123210cg1 |
Quadratic twists by: -3 37 |