Atkin-Lehner |
2+ 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350n |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-13126657913281250 = -1 · 2 · 58 · 136 · 592 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 1 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12758,5481166] |
[a1,a2,a3,a4,a6] |
Generators |
[253:-5112:1] |
Generators of the group modulo torsion |
j |
587884923495/33604244258 |
j-invariant |
L |
2.0143879605791 |
L(r)(E,1)/r! |
Ω |
0.30324951789504 |
Real period |
R |
0.55355624156271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38350s1 |
Quadratic twists by: 5 |