Atkin-Lehner |
2+ 5- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28120b |
Isogeny class |
Conductor |
28120 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
278511615520000 = 28 · 54 · 196 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 -3 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-140545,20217475] |
[a1,a2,a3,a4,a6] |
Generators |
[225:190:1] |
Generators of the group modulo torsion |
j |
1199314367419319296/1087935998125 |
j-invariant |
L |
7.2474694094644 |
L(r)(E,1)/r! |
Ω |
0.54599448635301 |
Real period |
R |
0.13826966187795 |
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 |
56240d1 |
Quadratic twists by: -4 |