Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12400d |
Isogeny class |
Conductor |
12400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-6054687500000000 = -1 · 28 · 517 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 0 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180033,29699437] |
[a1,a2,a3,a4,a6] |
Generators |
[52:4525:1] |
Generators of the group modulo torsion |
j |
-161332732109824/1513671875 |
j-invariant |
L |
3.6127265076472 |
L(r)(E,1)/r! |
Ω |
0.42705410291465 |
Real period |
R |
4.2298229697247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6200k1 49600bo1 111600t1 2480b1 |
Quadratic twists by: -4 8 -3 5 |