Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950cr |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
1405687500 = 22 · 33 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2126,-37852] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:19:1] |
Generators of the group modulo torsion |
j |
1387087009/1836 |
j-invariant |
L |
5.5089267063486 |
L(r)(E,1)/r! |
Ω |
0.70318198028855 |
Real period |
R |
1.3057138556502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999602656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998be1 124950d1 |
Quadratic twists by: 5 -7 |