Atkin-Lehner |
2+ 3+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
41574f |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1168128 |
Modular degree for the optimal curve |
Δ |
1262948027823129024 = 26 · 33 · 139 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ -3 0 -3 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1084814,-431969676] |
[a1,a2,a3,a4,a6] |
Generators |
[5140:357738:1] |
Generators of the group modulo torsion |
j |
13313738141101/119095488 |
j-invariant |
L |
2.2956750187173 |
L(r)(E,1)/r! |
Ω |
0.1480113798207 |
Real period |
R |
1.2925104258336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722bx1 41574p1 |
Quadratic twists by: -3 13 |