Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410bq |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
965986560 = 28 · 34 · 5 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-536,4313] |
[a1,a2,a3,a4,a6] |
Generators |
[17:13:1] |
Generators of the group modulo torsion |
j |
12796484219/725760 |
j-invariant |
L |
6.9915440756803 |
L(r)(E,1)/r! |
Ω |
1.5425318779768 |
Real period |
R |
0.56656398609169 |
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 |
76230cd1 127050cl1 25410c1 |
Quadratic twists by: -3 5 -11 |