Atkin-Lehner |
3- 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
39627l |
Isogeny class |
Conductor |
39627 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-369152521777179 = -1 · 310 · 7 · 176 · 37 |
Discriminant |
Eigenvalues |
-2 3- -1 7- 3 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-90723,-10558328] |
[a1,a2,a3,a4,a6] |
Generators |
[520:9103:1] |
Generators of the group modulo torsion |
j |
-113278735513686016/506382060051 |
j-invariant |
L |
2.7495270947403 |
L(r)(E,1)/r! |
Ω |
0.13750676113313 |
Real period |
R |
1.6662981224116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13209b1 |
Quadratic twists by: -3 |