Atkin-Lehner |
2- 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310do |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
772953930000 = 24 · 32 · 54 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-419245,-104518975] |
[a1,a2,a3,a4,a6] |
Generators |
[12170:1334555:1] |
Generators of the group modulo torsion |
j |
69269046933912769/6570000 |
j-invariant |
L |
15.134446535058 |
L(r)(E,1)/r! |
Ω |
0.18762148922191 |
Real period |
R |
5.0415488684938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2190j1 |
Quadratic twists by: -7 |