Atkin-Lehner |
2+ 3- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270j |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-7.4969603583768E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42261390,-105736214700] |
[a1,a2,a3,a4,a6] |
j |
-11450580940464042778633441/102838962392000000 |
j-invariant |
L |
0.7105499700982 |
L(r)(E,1)/r! |
Ω |
0.0296062485106 |
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 |
7030j1 |
Quadratic twists by: -3 |