Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37240i |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-41316069939200 = -1 · 211 · 52 · 76 · 193 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 4 -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3283,-317618] |
[a1,a2,a3,a4,a6] |
Generators |
[86:190:1] |
Generators of the group modulo torsion |
j |
-16241202/171475 |
j-invariant |
L |
3.5175488068034 |
L(r)(E,1)/r! |
Ω |
0.27358671663206 |
Real period |
R |
2.1428603759872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480h1 760c1 |
Quadratic twists by: -4 -7 |