Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950gp |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-330755457375000000 = -1 · 26 · 33 · 59 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55763,28107281] |
[a1,a2,a3,a4,a6] |
j |
-83453453/1439424 |
j-invariant |
L |
3.0820606572498 |
L(r)(E,1)/r! |
Ω |
0.25683843902153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124950ee1 17850cj1 |
Quadratic twists by: 5 -7 |