Atkin-Lehner |
2- 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59826o |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
280800 |
Modular degree for the optimal curve |
Δ |
-6643388220768 = -1 · 25 · 36 · 136 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 5 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-120923,16135049] |
[a1,a2,a3,a4,a6] |
Generators |
[201:-74:1] |
Generators of the group modulo torsion |
j |
-40512641613625/1376352 |
j-invariant |
L |
9.1960289727209 |
L(r)(E,1)/r! |
Ω |
0.70074863530619 |
Real period |
R |
1.3123149313879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
354c1 |
Quadratic twists by: 13 |