Atkin-Lehner |
3+ 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341f |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53222400 |
Modular degree for the optimal curve |
Δ |
3.6385781952798E+26 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3808691258,90465253140422] |
[a1,a2,a3,a4,a6] |
Generators |
[70926522830594675092636942949000:6161157612369772573187238490987693:1486353674876076910010662073] |
Generators of the group modulo torsion |
j |
151414915768565547676252375/9016735964346008919 |
j-invariant |
L |
2.3411819412593 |
L(r)(E,1)/r! |
Ω |
0.05088465692998 |
Real period |
R |
46.009584870055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103341w1 |
Quadratic twists by: -7 |