Atkin-Lehner |
2+ 5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
58520i |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
22314802275920 = 24 · 5 · 72 · 112 · 196 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7595,117680] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:4389:8] |
Generators of the group modulo torsion |
j |
3028616223655936/1394675142245 |
j-invariant |
L |
10.355898980986 |
L(r)(E,1)/r! |
Ω |
0.60695834421519 |
Real period |
R |
1.4218299986491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040k1 |
Quadratic twists by: -4 |