Atkin-Lehner |
7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105413c |
Isogeny class |
Conductor |
105413 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
317520 |
Modular degree for the optimal curve |
Δ |
-1382926534451 = -1 · 72 · 11 · 376 |
Discriminant |
Eigenvalues |
0 1 -3 7- 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-122297,16420990] |
[a1,a2,a3,a4,a6] |
j |
-78843215872/539 |
j-invariant |
L |
1.5278355639353 |
L(r)(E,1)/r! |
Ω |
0.76391773865233 |
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 |
77b3 |
Quadratic twists by: 37 |