Atkin-Lehner |
2- 3+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61272i |
Isogeny class |
Conductor |
61272 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-71567656704 = -1 · 28 · 33 · 234 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2079,38690] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:230:1] |
Generators of the group modulo torsion |
j |
-143775024624/10354117 |
j-invariant |
L |
6.1412000940073 |
L(r)(E,1)/r! |
Ω |
1.0746664968172 |
Real period |
R |
0.71431463997282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122544b1 61272a1 |
Quadratic twists by: -4 -3 |