Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950u |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-371641284000000000 = -1 · 211 · 38 · 59 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -1 3 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2189625,1246537125] |
[a1,a2,a3,a4,a6] |
Generators |
[861:258:1] |
Generators of the group modulo torsion |
j |
-1516411763988487009/485409024000 |
j-invariant |
L |
4.5044056312206 |
L(r)(E,1)/r! |
Ω |
0.29539368442514 |
Real period |
R |
1.9061026970896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24990cc1 124950ch1 |
Quadratic twists by: 5 -7 |