Atkin-Lehner |
2- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
51100p |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
313920 |
Modular degree for the optimal curve |
Δ |
1095456250000 = 24 · 58 · 74 · 73 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ -2 -6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90625,10500625] |
[a1,a2,a3,a4,a6] |
Generators |
[225:1225:1] |
Generators of the group modulo torsion |
j |
13170060000000/175273 |
j-invariant |
L |
2.2734830488459 |
L(r)(E,1)/r! |
Ω |
0.79418589489232 |
Real period |
R |
0.15903658656714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51100l1 |
Quadratic twists by: 5 |