Atkin-Lehner |
2- 3+ 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
62730u |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-43137086440320 = -1 · 27 · 39 · 5 · 174 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -4 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36722,-2717711] |
[a1,a2,a3,a4,a6] |
Generators |
[229:803:1] |
Generators of the group modulo torsion |
j |
-278227665020187/2191591040 |
j-invariant |
L |
10.275555200666 |
L(r)(E,1)/r! |
Ω |
0.17235927623373 |
Real period |
R |
1.0645905527622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997488 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62730a1 |
Quadratic twists by: -3 |