Atkin-Lehner |
3+ 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
31365b |
Isogeny class |
Conductor |
31365 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
305280 |
Modular degree for the optimal curve |
Δ |
56017967149211895 = 39 · 5 · 173 · 415 |
Discriminant |
Eigenvalues |
-1 3+ 5- -1 3 7 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-225452,39654496] |
[a1,a2,a3,a4,a6] |
Generators |
[160:2687:1] |
Generators of the group modulo torsion |
j |
64386214288581627/2846007577565 |
j-invariant |
L |
4.1191462084025 |
L(r)(E,1)/r! |
Ω |
0.34940784537194 |
Real period |
R |
1.1788934515817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31365a1 |
Quadratic twists by: -3 |