Atkin-Lehner |
3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25575k |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-206048583984375 = -1 · 32 · 514 · 112 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12374,444023] |
[a1,a2,a3,a4,a6] |
Generators |
[543:12664:1] |
Generators of the group modulo torsion |
j |
13411719834479/13187109375 |
j-invariant |
L |
7.7251757980886 |
L(r)(E,1)/r! |
Ω |
0.37059600459204 |
Real period |
R |
5.2113188636455 |
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 |
76725p1 5115e1 |
Quadratic twists by: -3 5 |