Atkin-Lehner |
3- 7- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103341p |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
738720 |
Modular degree for the optimal curve |
Δ |
676664938418301 = 315 · 72 · 19 · 373 |
Discriminant |
Eigenvalues |
2 3- 3 7- -2 3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21954,-43711] |
[a1,a2,a3,a4,a6] |
Generators |
[-582:8663:8] |
Generators of the group modulo torsion |
j |
23882973325324288/13809488539149 |
j-invariant |
L |
21.550127140904 |
L(r)(E,1)/r! |
Ω |
0.42918933350725 |
Real period |
R |
3.3474157652861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103341b1 |
Quadratic twists by: -7 |