Atkin-Lehner |
2+ 3- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
101808k |
Isogeny class |
Conductor |
101808 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
-316795546368 = -1 · 28 · 36 · 75 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-716295,-233338282] |
[a1,a2,a3,a4,a6] |
Generators |
[1427107:20241844:1331] |
Generators of the group modulo torsion |
j |
-217787012453554000/1697507 |
j-invariant |
L |
8.1223808946409 |
L(r)(E,1)/r! |
Ω |
0.0820533995328 |
Real period |
R |
9.8988962441924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50904g1 11312g1 |
Quadratic twists by: -4 -3 |