Atkin-Lehner |
2- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
41300m |
Isogeny class |
Conductor |
41300 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
168480 |
Modular degree for the optimal curve |
Δ |
-7044499700000000 = -1 · 28 · 58 · 73 · 593 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 0 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17292,-3936412] |
[a1,a2,a3,a4,a6] |
Generators |
[8616:157850:27] |
Generators of the group modulo torsion |
j |
5717870000/70444997 |
j-invariant |
L |
7.2267890790833 |
L(r)(E,1)/r! |
Ω |
0.20608911387487 |
Real period |
R |
3.8962589980883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
41300c1 |
Quadratic twists by: 5 |