Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15050g |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-46090625000 = -1 · 23 · 58 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -5 2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,875,3125] |
[a1,a2,a3,a4,a6] |
Generators |
[5:85:1] |
Generators of the group modulo torsion |
j |
4733169839/2949800 |
j-invariant |
L |
2.588719139172 |
L(r)(E,1)/r! |
Ω |
0.7026857329879 |
Real period |
R |
0.6140059056378 |
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 |
120400x1 3010g1 105350m1 |
Quadratic twists by: -4 5 -7 |