Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200a |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-6027918750000 = -1 · 24 · 39 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4050,-64125] |
[a1,a2,a3,a4,a6] |
Generators |
[7905:138250:27] |
Generators of the group modulo torsion |
j |
1492992/1225 |
j-invariant |
L |
5.3380582603553 |
L(r)(E,1)/r! |
Ω |
0.4187194199409 |
Real period |
R |
6.3742664014828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12600bk1 100800iv1 25200d1 5040b1 |
Quadratic twists by: -4 8 -3 5 |