Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12950l |
Isogeny class |
Conductor |
12950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-252929687500000 = -1 · 25 · 515 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 6 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70063,7149781] |
[a1,a2,a3,a4,a6] |
j |
-2434278488702761/16187500000 |
j-invariant |
L |
5.5675509175485 |
L(r)(E,1)/r! |
Ω |
0.55675509175485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103600bo1 116550bj1 2590c1 90650ck1 |
Quadratic twists by: -4 -3 5 -7 |