Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950gw |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-5974554898529280000 = -1 · 213 · 35 · 54 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-364463,-145073419] |
[a1,a2,a3,a4,a6] |
Generators |
[839:11438:1] |
Generators of the group modulo torsion |
j |
-72814163751025/81252605952 |
j-invariant |
L |
9.6835653886642 |
L(r)(E,1)/r! |
Ω |
0.093092224190675 |
Real period |
R |
4.0008156178025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999517488 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950cs1 17850ci1 |
Quadratic twists by: 5 -7 |