Atkin-Lehner |
2+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450i |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-165449788700 = -1 · 22 · 52 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -4 -3 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,219,19548] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-181:1] [33:234:1] |
Generators of the group modulo torsion |
j |
397535/56252 |
j-invariant |
L |
9.4577004994551 |
L(r)(E,1)/r! |
Ω |
0.78524517519705 |
Real period |
R |
1.5055330482996 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100450ci1 14350f1 |
Quadratic twists by: 5 -7 |