Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fa |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-7523389440000 = -1 · 215 · 32 · 54 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4895,-4897] |
[a1,a2,a3,a4,a6] |
Generators |
[26:375:1] |
Generators of the group modulo torsion |
j |
395770245688/229595625 |
j-invariant |
L |
8.0114214186505 |
L(r)(E,1)/r! |
Ω |
0.44035979722218 |
Real period |
R |
2.2741124011875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014818 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240bz3 57120bm2 |
Quadratic twists by: -4 8 |