Atkin-Lehner |
2- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34160r |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3294720 |
Modular degree for the optimal curve |
Δ |
-8.928974946304E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 -3 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4146277,45346798922] |
[a1,a2,a3,a4,a6] |
Generators |
[34802:3053771:8] |
Generators of the group modulo torsion |
j |
1924592114123259010191/217992552400000000000 |
j-invariant |
L |
4.8266605144232 |
L(r)(E,1)/r! |
Ω |
0.06806528901151 |
Real period |
R |
8.8640270696692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4270e1 |
Quadratic twists by: -4 |