Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950y |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-5443289812800 = -1 · 26 · 35 · 52 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2230,118420] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:410:1] |
Generators of the group modulo torsion |
j |
-417267265/1850688 |
j-invariant |
L |
4.0041135789871 |
L(r)(E,1)/r! |
Ω |
0.66342053647412 |
Real period |
R |
1.5088896612115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950ix1 17850t1 |
Quadratic twists by: 5 -7 |