Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
37080f |
Isogeny class |
Conductor |
37080 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
31200 |
Modular degree for the optimal curve |
Δ |
-3754350000 = -1 · 24 · 36 · 55 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2622,51761] |
[a1,a2,a3,a4,a6] |
Generators |
[32:25:1] |
Generators of the group modulo torsion |
j |
-170912671744/321875 |
j-invariant |
L |
7.1855659513263 |
L(r)(E,1)/r! |
Ω |
1.3997690378477 |
Real period |
R |
0.51333939793208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74160s1 4120d1 |
Quadratic twists by: -4 -3 |