Atkin-Lehner |
2+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
118720j |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
88064 |
Modular degree for the optimal curve |
Δ |
3257676800 = 210 · 52 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 4 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1832,30056] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:245:1] |
Generators of the group modulo torsion |
j |
664049055744/3181325 |
j-invariant |
L |
7.2200005710248 |
L(r)(E,1)/r! |
Ω |
1.4225933553392 |
Real period |
R |
1.2688096242932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118720v1 14840f1 |
Quadratic twists by: -4 8 |