Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200bi |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-20661046784000 = -1 · 212 · 53 · 79 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- -3 3 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2154040,-1216826800] |
[a1,a2,a3,a4,a6] |
Generators |
[90552538279896:-1697693051619964:48667103451] |
Generators of the group modulo torsion |
j |
-53497400832 |
j-invariant |
L |
10.144476262776 |
L(r)(E,1)/r! |
Ω |
0.06230976561077 |
Real period |
R |
20.350895568573 |
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 |
39200bj1 78400ll1 39200dc1 39200bk1 |
Quadratic twists by: -4 8 5 -7 |