Atkin-Lehner |
2+ 3- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
27306b |
Isogeny class |
Conductor |
27306 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
-245508246 = -1 · 2 · 37 · 372 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 -6 5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1179,-15309] |
[a1,a2,a3,a4,a6] |
j |
-248739515569/336774 |
j-invariant |
L |
1.6292907195677 |
L(r)(E,1)/r! |
Ω |
0.40732267989188 |
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 |
9102f1 |
Quadratic twists by: -3 |