Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480p |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
500714144000 = 28 · 53 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-271607,54482806] |
[a1,a2,a3,a4,a6] |
Generators |
[742:16170:1] |
Generators of the group modulo torsion |
j |
73572986019024/16625 |
j-invariant |
L |
7.3428588861025 |
L(r)(E,1)/r! |
Ω |
0.73925700304651 |
Real period |
R |
3.3109184201726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37240l1 10640b1 |
Quadratic twists by: -4 -7 |