Atkin-Lehner |
2+ 3+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
88920c |
Isogeny class |
Conductor |
88920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
48617010000 = 24 · 39 · 54 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1998,32697] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1250:1] |
Generators of the group modulo torsion |
j |
2800908288/154375 |
j-invariant |
L |
7.1599682864138 |
L(r)(E,1)/r! |
Ω |
1.1134414801035 |
Real period |
R |
3.2152423006835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88920y1 |
Quadratic twists by: -3 |