Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480bv |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
-6088683991040 = -1 · 212 · 5 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 3 -3 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76048,-8072848] |
[a1,a2,a3,a4,a6] |
j |
-100934332416/12635 |
j-invariant |
L |
5.174839091856 |
L(r)(E,1)/r! |
Ω |
0.14374552988219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4655h1 10640w1 |
Quadratic twists by: -4 -7 |