Atkin-Lehner |
2+ 3- 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70110o |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1180849829760 = -1 · 27 · 38 · 5 · 193 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -1 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6165,195061] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-289:1] |
Generators of the group modulo torsion |
j |
-35549627253841/1619821440 |
j-invariant |
L |
5.3227937064807 |
L(r)(E,1)/r! |
Ω |
0.8577296170494 |
Real period |
R |
0.51713982288077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370q1 |
Quadratic twists by: -3 |