Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560q |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-3278438271360000 = -1 · 210 · 316 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-437360,-111217008] |
[a1,a2,a3,a4,a6] |
Generators |
[1102:27274:1] |
Generators of the group modulo torsion |
j |
-9035286561666509764/3201599874375 |
j-invariant |
L |
4.9076946518043 |
L(r)(E,1)/r! |
Ω |
0.092821905525737 |
Real period |
R |
6.6090200152748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280z1 114240ik1 85680k1 |
Quadratic twists by: -4 8 -3 |