Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34122q |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-92740490625024 = -1 · 226 · 35 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 6 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19907,-1184479] |
[a1,a2,a3,a4,a6] |
Generators |
[323:4958:1] |
Generators of the group modulo torsion |
j |
-7210363418239993/766450335744 |
j-invariant |
L |
8.3530410510922 |
L(r)(E,1)/r! |
Ω |
0.19976418504064 |
Real period |
R |
1.6082502956774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102366s1 34122d1 |
Quadratic twists by: -3 -11 |