Atkin-Lehner |
3+ 5- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109275i |
Isogeny class |
Conductor |
109275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7324800 |
Modular degree for the optimal curve |
Δ |
-21436681640625 = -1 · 35 · 59 · 312 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5- -3 2 -1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-225470450,1303020509625] |
[a1,a2,a3,a4,a6] |
Generators |
[105474320:-52741035:12167] |
Generators of the group modulo torsion |
j |
-649026711275603352105077/10975581 |
j-invariant |
L |
3.9217631765598 |
L(r)(E,1)/r! |
Ω |
0.23946582880734 |
Real period |
R |
4.0942826450202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109275p1 |
Quadratic twists by: 5 |