Atkin-Lehner |
2+ 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
101184c |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-426745116278784 = -1 · 214 · 313 · 17 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 5 7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4091,987421] |
[a1,a2,a3,a4,a6] |
Generators |
[-851730:4012237:10648] |
Generators of the group modulo torsion |
j |
462046886912/26046454851 |
j-invariant |
L |
7.7036418006413 |
L(r)(E,1)/r! |
Ω |
0.40337674768934 |
Real period |
R |
9.5489413454525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909543 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101184be1 12648b1 |
Quadratic twists by: -4 8 |