Atkin-Lehner |
2- 5- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450bo |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
680 |
Product of Tamagawa factors cp |
deg |
70894080 |
Modular degree for the optimal curve |
Δ |
-5.2091324434806E+25 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 2 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-902545740,-10441979246513] |
[a1,a2,a3,a4,a6] |
j |
-650461147168289566647290747301/416730595478450489786368 |
j-invariant |
L |
9.3647131763369 |
L(r)(E,1)/r! |
Ω |
0.013771636983192 |
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 |
86450w1 |
Quadratic twists by: 5 |