Atkin-Lehner |
3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
29547n |
Isogeny class |
Conductor |
29547 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-218297334434823 = -1 · 310 · 77 · 672 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 4 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4640,-720030] |
[a1,a2,a3,a4,a6] |
Generators |
[18820:166302:125] |
Generators of the group modulo torsion |
j |
-128787625/2545263 |
j-invariant |
L |
3.6195657031515 |
L(r)(E,1)/r! |
Ω |
0.24171007463949 |
Real period |
R |
7.4874117443185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9849d1 4221g1 |
Quadratic twists by: -3 -7 |