Atkin-Lehner |
2- 3+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
101184v |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-1718855076037824 = -1 · 26 · 39 · 175 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 3 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23379,2431017] |
[a1,a2,a3,a4,a6] |
Generators |
[922:8959:8] |
Generators of the group modulo torsion |
j |
-22082086519556608/26857110563091 |
j-invariant |
L |
6.5786462283211 |
L(r)(E,1)/r! |
Ω |
0.42707335762233 |
Real period |
R |
1.5404019264748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101184bk1 50592g1 |
Quadratic twists by: -4 8 |