Atkin-Lehner |
2+ 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160h |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-8580971520 = -1 · 210 · 36 · 5 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-760,9472] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-44:1] |
Generators of the group modulo torsion |
j |
-47471816164/8379855 |
j-invariant |
L |
4.4447859659512 |
L(r)(E,1)/r! |
Ω |
1.2555964906086 |
Real period |
R |
0.88499490066953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080w1 |
Quadratic twists by: -4 |