Atkin-Lehner |
2+ 3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130i |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135136512 |
Modular degree for the optimal curve |
Δ |
-3.888854296976E+29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-942503853,32003250020253] |
[a1,a2,a3,a4,a6] |
Generators |
[-2630153589050501952823599502:1617525428607128738800874799751:253441608167870912048797] |
Generators of the group modulo torsion |
j |
-787018381229524347427258441/3305471612148000000000000 |
j-invariant |
L |
4.1416890647579 |
L(r)(E,1)/r! |
Ω |
0.026177790805595 |
Real period |
R |
39.553462470492 |
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 |
2370e1 |
Quadratic twists by: -7 |