Atkin-Lehner |
3+ 5- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14835b |
Isogeny class |
Conductor |
14835 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31488 |
Modular degree for the optimal curve |
Δ |
-1913715 = -1 · 32 · 5 · 23 · 432 |
Discriminant |
Eigenvalues |
2 3+ 5- 3 -2 4 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-41410,3257283] |
[a1,a2,a3,a4,a6] |
Generators |
[954:211:8] |
Generators of the group modulo torsion |
j |
-7853258467812929536/1913715 |
j-invariant |
L |
9.2822171153724 |
L(r)(E,1)/r! |
Ω |
1.5469722852281 |
Real period |
R |
1.5000619603867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44505f1 74175s1 |
Quadratic twists by: -3 5 |