Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950bn |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6289920 |
Modular degree for the optimal curve |
Δ |
-2.9034954381343E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 5 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-910200,884956500] |
[a1,a2,a3,a4,a6] |
Generators |
[-690:34770:1] |
Generators of the group modulo torsion |
j |
-37033145065/128936772 |
j-invariant |
L |
4.8598082515651 |
L(r)(E,1)/r! |
Ω |
0.15162486777185 |
Real period |
R |
0.89032014172107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999919633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950hb1 124950dt1 |
Quadratic twists by: 5 -7 |