Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bg |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
1629082216824832 = 219 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11- -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80033,-8522305] |
[a1,a2,a3,a4,a6] |
Generators |
[2915:156640:1] |
Generators of the group modulo torsion |
j |
765625/22 |
j-invariant |
L |
6.5732318375234 |
L(r)(E,1)/r! |
Ω |
0.28434434246246 |
Real period |
R |
5.779288397826 |
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 |
34496cn1 1078d1 34496f1 |
Quadratic twists by: -4 8 -7 |