Atkin-Lehner |
5- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4945b |
Isogeny class |
Conductor |
4945 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-13079525 = -1 · 52 · 233 · 43 |
Discriminant |
Eigenvalues |
1 -1 5- 4 -5 -1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-127,-634] |
[a1,a2,a3,a4,a6] |
j |
-229333309561/13079525 |
j-invariant |
L |
1.4160188760153 |
L(r)(E,1)/r! |
Ω |
0.70800943800766 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79120bb1 44505i1 24725g1 113735e1 |
Quadratic twists by: -4 -3 5 -23 |