Atkin-Lehner |
2+ 3+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786a |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
3040504018312068 = 22 · 310 · 79 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-57845,4627449] |
[a1,a2,a3,a4,a6] |
j |
530457457375/75346524 |
j-invariant |
L |
0.86479137951527 |
L(r)(E,1)/r! |
Ω |
0.43239574224896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93786bc1 |
Quadratic twists by: -7 |