Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400cy |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
279000000000 = 29 · 32 · 59 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41208,-3233412] |
[a1,a2,a3,a4,a6] |
Generators |
[2173429274391:-25897439191384:7044762213] |
Generators of the group modulo torsion |
j |
7738893352/279 |
j-invariant |
L |
7.0942705609986 |
L(r)(E,1)/r! |
Ω |
0.3350844170617 |
Real period |
R |
21.171591996001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400p2 74400t2 |
Quadratic twists by: -4 5 |