Atkin-Lehner |
3- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25641g |
Isogeny class |
Conductor |
25641 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-845306847 = -1 · 36 · 7 · 112 · 372 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,48,-1405] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1831:1] |
Generators of the group modulo torsion |
j |
16581375/1159543 |
j-invariant |
L |
6.0084874054559 |
L(r)(E,1)/r! |
Ω |
0.75477390609142 |
Real period |
R |
3.9803226880025 |
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 |
2849b1 |
Quadratic twists by: -3 |