Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928cx |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
-590589476720345088 = -1 · 241 · 33 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 1 3 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6119340,-5826580272] |
[a1,a2,a3,a4,a6] |
Generators |
[2519376:3998888292:1] |
Generators of the group modulo torsion |
j |
-3580418379458257875/83441483776 |
j-invariant |
L |
7.0266248002486 |
L(r)(E,1)/r! |
Ω |
0.047994647439071 |
Real period |
R |
12.200361783305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928a1 29232w1 116928db1 |
Quadratic twists by: -4 8 -3 |