Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25760b |
Isogeny class |
Conductor |
25760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3983124544000 = -1 · 29 · 53 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1296,98120] |
[a1,a2,a3,a4,a6] |
Generators |
[867:8036:27] |
Generators of the group modulo torsion |
j |
-470547874952/7779540125 |
j-invariant |
L |
7.7660905466688 |
L(r)(E,1)/r! |
Ω |
0.66061907914331 |
Real period |
R |
3.9185923183548 |
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 |
25760f2 51520bj2 128800y2 |
Quadratic twists by: -4 8 5 |