Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ef |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
725469696000 = 212 · 35 · 53 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2266,-6772] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:176:1] |
Generators of the group modulo torsion |
j |
29993266043/16920576 |
j-invariant |
L |
7.5728734716898 |
L(r)(E,1)/r! |
Ω |
0.74541412509888 |
Real period |
R |
1.0159283549376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124950gq1 124950bz1 |
Quadratic twists by: 5 -7 |