Atkin-Lehner |
2+ 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070q |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
16150681530000 = 24 · 36 · 54 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6324,10880] |
[a1,a2,a3,a4,a6] |
Generators |
[91:382:1] [-61:439:1] |
Generators of the group modulo torsion |
j |
38371643079489/22154570000 |
j-invariant |
L |
5.871559559494 |
L(r)(E,1)/r! |
Ω |
0.59188287322359 |
Real period |
R |
0.62000860148179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3230e1 |
Quadratic twists by: -3 |