Atkin-Lehner |
2+ 3- 7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378v |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-688187354904 = -1 · 23 · 36 · 76 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31221,-2115923] |
[a1,a2,a3,a4,a6] |
Generators |
[2301:108872:1] |
Generators of the group modulo torsion |
j |
-4616835877167697/944015576 |
j-invariant |
L |
6.6401844617413 |
L(r)(E,1)/r! |
Ω |
0.17957748183005 |
Real period |
R |
6.1627849533283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14042e1 |
Quadratic twists by: -3 |