Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
46200l |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
10782026640000000 = 210 · 36 · 57 · 75 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7701408,8228842812] |
[a1,a2,a3,a4,a6] |
Generators |
[1562:2800:1] |
Generators of the group modulo torsion |
j |
3157287870431675236/673876665 |
j-invariant |
L |
5.1194205271301 |
L(r)(E,1)/r! |
Ω |
0.32118279056417 |
Real period |
R |
0.79696370377437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400bq1 9240bc1 |
Quadratic twists by: -4 5 |