Atkin-Lehner |
2+ 3- 5- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
26070v |
Isogeny class |
Conductor |
26070 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2452915872000 = -1 · 28 · 36 · 53 · 113 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7418,256556] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-143:1] |
Generators of the group modulo torsion |
j |
-45133606323376921/2452915872000 |
j-invariant |
L |
5.5444520321974 |
L(r)(E,1)/r! |
Ω |
0.80468746267702 |
Real period |
R |
0.57418276135766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
78210bd1 |
Quadratic twists by: -3 |