Atkin-Lehner |
2- 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
101840o |
Isogeny class |
Conductor |
101840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-6304148054000 = -1 · 24 · 53 · 196 · 67 |
Discriminant |
Eigenvalues |
2- -1 5- 1 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10250,420727] |
[a1,a2,a3,a4,a6] |
Generators |
[2202:34295:8] |
Generators of the group modulo torsion |
j |
-7444194215616256/394009253375 |
j-invariant |
L |
6.8716459381289 |
L(r)(E,1)/r! |
Ω |
0.74415408831718 |
Real period |
R |
1.5390284671683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999750424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25460d1 |
Quadratic twists by: -4 |