Atkin-Lehner |
2+ 3- 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970q |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
285696 |
Modular degree for the optimal curve |
Δ |
49410730036800 = 26 · 37 · 52 · 113 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16245,-717579] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:251:1] |
Generators of the group modulo torsion |
j |
650384778672721/67778779200 |
j-invariant |
L |
5.2720427483265 |
L(r)(E,1)/r! |
Ω |
0.42572899909324 |
Real period |
R |
1.0319637524569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33990bf1 |
Quadratic twists by: -3 |