Atkin-Lehner |
2- 3- 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
41814g |
Isogeny class |
Conductor |
41814 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
2331648 |
Modular degree for the optimal curve |
Δ |
-1570094596306944 = -1 · 211 · 315 · 232 · 101 |
Discriminant |
Eigenvalues |
2- 3- -1 0 2 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87963278,-317519309667] |
[a1,a2,a3,a4,a6] |
j |
-103252456971064214794655641/2153764878336 |
j-invariant |
L |
2.1690865442847 |
L(r)(E,1)/r! |
Ω |
0.02464871072998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13938a1 |
Quadratic twists by: -3 |