Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
34608c |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
535296 |
Modular degree for the optimal curve |
Δ |
-65406463447836672 = -1 · 211 · 317 · 74 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 5 -6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1447608,670016052] |
[a1,a2,a3,a4,a6] |
Generators |
[636:2646:1] |
Generators of the group modulo torsion |
j |
-163812479280565531250/31936749730389 |
j-invariant |
L |
6.8794773858767 |
L(r)(E,1)/r! |
Ω |
0.33845253049737 |
Real period |
R |
0.2989157295936 |
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 |
17304b1 103824k1 |
Quadratic twists by: -4 -3 |