Atkin-Lehner |
3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4959d |
Isogeny class |
Conductor |
4959 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-7631901 = -1 · 36 · 192 · 29 |
Discriminant |
Eigenvalues |
1 3- 1 2 3 -5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99,-378] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1214:1] |
Generators of the group modulo torsion |
j |
-148035889/10469 |
j-invariant |
L |
5.0390760811915 |
L(r)(E,1)/r! |
Ω |
0.75333802836555 |
Real period |
R |
3.3444986788496 |
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 |
79344bd1 551b1 123975bc1 94221m1 |
Quadratic twists by: -4 -3 5 -19 |