Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450bi |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
28379703551500000 = 25 · 56 · 77 · 413 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-97413,-8449183] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:1335:1] |
Generators of the group modulo torsion |
j |
55611739513/15438304 |
j-invariant |
L |
12.921179302734 |
L(r)(E,1)/r! |
Ω |
0.27589842130631 |
Real period |
R |
2.3416551727558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018c1 14350o1 |
Quadratic twists by: 5 -7 |