Atkin-Lehner |
2+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
79402d |
Isogeny class |
Conductor |
79402 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
-76191811441664 = -1 · 210 · 29 · 376 |
Discriminant |
Eigenvalues |
2+ -1 -1 -2 -3 1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6817,362629] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-692:1] [110:1513:1] |
Generators of the group modulo torsion |
j |
13651919/29696 |
j-invariant |
L |
5.1695354712992 |
L(r)(E,1)/r! |
Ω |
0.42464567053979 |
Real period |
R |
3.043440584716 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58b1 |
Quadratic twists by: 37 |