Atkin-Lehner |
2+ 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
53088f |
Isogeny class |
Conductor |
53088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
2866752 = 26 · 34 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 4 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-190,-944] |
[a1,a2,a3,a4,a6] |
Generators |
[24:88:1] |
Generators of the group modulo torsion |
j |
11914842304/44793 |
j-invariant |
L |
3.9950209708749 |
L(r)(E,1)/r! |
Ω |
1.2856389966794 |
Real period |
R |
3.1074204976356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53088g1 106176ch1 |
Quadratic twists by: -4 8 |