Atkin-Lehner |
2+ 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107242a |
Isogeny class |
Conductor |
107242 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
304920 |
Modular degree for the optimal curve |
Δ |
-187719197103104 = -1 · 210 · 29 · 436 |
Discriminant |
Eigenvalues |
2+ 1 -1 2 -3 -1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9206,-563972] |
[a1,a2,a3,a4,a6] |
Generators |
[474727:8995363:1331] |
Generators of the group modulo torsion |
j |
13651919/29696 |
j-invariant |
L |
5.3609260883433 |
L(r)(E,1)/r! |
Ω |
0.29484611981398 |
Real period |
R |
9.0910575376429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58b1 |
Quadratic twists by: -43 |