Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550h |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-469758187500 = -1 · 22 · 3 · 56 · 7 · 713 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 7 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-137725,-19730375] |
[a1,a2,a3,a4,a6] |
Generators |
[1127806548:-200347189085:35937] |
Generators of the group modulo torsion |
j |
-18490427676470737/30064524 |
j-invariant |
L |
4.2148360278422 |
L(r)(E,1)/r! |
Ω |
0.12391272586078 |
Real period |
R |
17.007276688343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2982k2 |
Quadratic twists by: 5 |