Atkin-Lehner |
2+ 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382n |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
16286327095492608 = 216 · 3 · 76 · 113 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2160485,1222096208] |
[a1,a2,a3,a4,a6] |
j |
9479576797126950457/138431496192 |
j-invariant |
L |
2.1454512819565 |
L(r)(E,1)/r! |
Ω |
0.35757521977034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1518c1 |
Quadratic twists by: -7 |