Atkin-Lehner |
2- 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
63550p |
Isogeny class |
Conductor |
63550 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
26493232400000000 = 210 · 58 · 312 · 413 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34497730,-77980471103] |
[a1,a2,a3,a4,a6] |
Generators |
[9409:651295:1] |
Generators of the group modulo torsion |
j |
290586363955177047479721/1695566873600 |
j-invariant |
L |
10.594276332805 |
L(r)(E,1)/r! |
Ω |
0.062294818684718 |
Real period |
R |
2.8344455597237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710d1 |
Quadratic twists by: 5 |