Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2450c |
Isogeny class |
Conductor |
2450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-1801500312500 = -1 · 22 · 57 · 78 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ -2 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-161317,24978841] |
[a1,a2,a3,a4,a6] |
Generators |
[184:1133:1] |
Generators of the group modulo torsion |
j |
-5154200289/20 |
j-invariant |
L |
1.3974563856275 |
L(r)(E,1)/r! |
Ω |
0.73429334214843 |
Real period |
R |
0.1585942458113 |
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 |
19600by1 78400p1 22050dr1 490f1 |
Quadratic twists by: -4 8 -3 5 |