Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736l |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-13632192 = -1 · 26 · 33 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -5 -2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30,166] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] [5:21:1] |
Generators of the group modulo torsion |
j |
1728000/7889 |
j-invariant |
L |
11.011609603331 |
L(r)(E,1)/r! |
Ω |
1.6009856040775 |
Real period |
R |
1.146336520734 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000537 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736g1 46368bh1 92736s1 |
Quadratic twists by: -4 8 -3 |