Atkin-Lehner |
2- 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100368cd |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
257280 |
Modular degree for the optimal curve |
Δ |
-2037029081904 = -1 · 24 · 37 · 175 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 0 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66396,-6585437] |
[a1,a2,a3,a4,a6] |
Generators |
[177505:6570126:125] |
Generators of the group modulo torsion |
j |
-2775248968695808/174642411 |
j-invariant |
L |
9.0391466609155 |
L(r)(E,1)/r! |
Ω |
0.14870735197872 |
Real period |
R |
6.0784800144552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999898922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25092i1 33456s1 |
Quadratic twists by: -4 -3 |