Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350cs |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-18824555100000000 = -1 · 28 · 3 · 58 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,63287,2459417] |
[a1,a2,a3,a4,a6] |
Generators |
[322:7339:1] |
Generators of the group modulo torsion |
j |
371694959/249600 |
j-invariant |
L |
9.6835944217794 |
L(r)(E,1)/r! |
Ω |
0.2430866941971 |
Real period |
R |
2.4897481672546 |
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 |
76050bc1 5070a1 1950g1 |
Quadratic twists by: -3 5 13 |