Atkin-Lehner |
2+ 3+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450l |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-1325592000000000 = -1 · 212 · 33 · 59 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,19750,1396500] |
[a1,a2,a3,a4,a6] |
Generators |
[470:13065:8] |
Generators of the group modulo torsion |
j |
54521855422559/84837888000 |
j-invariant |
L |
4.800062908066 |
L(r)(E,1)/r! |
Ω |
0.32836942999579 |
Real period |
R |
3.654468465713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690y1 |
Quadratic twists by: 5 |