Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43350o |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3231360 |
Modular degree for the optimal curve |
Δ |
-6.2781816969E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 1 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,324975,3811663125] |
[a1,a2,a3,a4,a6] |
Generators |
[-11178:206733:8] [1565:89530:1] |
Generators of the group modulo torsion |
j |
34822511/57600000 |
j-invariant |
L |
5.445328007102 |
L(r)(E,1)/r! |
Ω |
0.10497732020213 |
Real period |
R |
2.1613112863398 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8670x1 43350be1 |
Quadratic twists by: 5 17 |