Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102312m |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
1268408482258176 = 28 · 320 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 4 -3 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36876,-2119628] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:594:1] |
Generators of the group modulo torsion |
j |
606445192192/138706101 |
j-invariant |
L |
8.7172915169875 |
L(r)(E,1)/r! |
Ω |
0.35018093392513 |
Real period |
R |
3.11170978042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34104z1 102312h1 |
Quadratic twists by: -3 -7 |