Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200dn |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-1805923123200000000 = -1 · 225 · 39 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -3 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,145125,-61053750] |
[a1,a2,a3,a4,a6] |
j |
10733445/57344 |
j-invariant |
L |
1.5927475199545 |
L(r)(E,1)/r! |
Ω |
0.13272895999621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3150ba1 100800ks1 25200dm1 25200cs1 |
Quadratic twists by: -4 8 -3 5 |