Atkin-Lehner |
3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
7725h |
Isogeny class |
Conductor |
7725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-3841618359375 = -1 · 32 · 58 · 1033 |
Discriminant |
Eigenvalues |
-1 3+ 5- -3 2 7 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9513,365406] |
[a1,a2,a3,a4,a6] |
Generators |
[64:-187:1] |
Generators of the group modulo torsion |
j |
-243735630385/9834543 |
j-invariant |
L |
2.0074769109346 |
L(r)(E,1)/r! |
Ω |
0.77886362248571 |
Real period |
R |
0.42957390163887 |
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 |
123600ct1 23175y1 7725j1 |
Quadratic twists by: -4 -3 5 |