Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944o |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
44326378432 = 26 · 77 · 292 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 6 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-931,4116] |
[a1,a2,a3,a4,a6] |
j |
11852352/5887 |
j-invariant |
L |
1.009213259311 |
L(r)(E,1)/r! |
Ω |
1.0092130398064 |
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 |
90944p1 45472q2 12992a1 |
Quadratic twists by: -4 8 -7 |