Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215cc |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1053696 |
Modular degree for the optimal curve |
Δ |
3059565293908305 = 37 · 5 · 73 · 138 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-274629,-55353413] |
[a1,a2,a3,a4,a6] |
Generators |
[-307:369:1] |
Generators of the group modulo torsion |
j |
1383586741207/1848015 |
j-invariant |
L |
8.5696317586291 |
L(r)(E,1)/r! |
Ω |
0.2085681452821 |
Real period |
R |
2.934851612152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999471189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124215bb1 9555v1 |
Quadratic twists by: -7 13 |