Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
19312g |
Isogeny class |
Conductor |
19312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-162000797696 = -1 · 227 · 17 · 71 |
Discriminant |
Eigenvalues |
2- -1 -3 -5 0 -1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2592,-53504] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1024:1] |
Generators of the group modulo torsion |
j |
-470366406433/39550976 |
j-invariant |
L |
1.2871589529522 |
L(r)(E,1)/r! |
Ω |
0.33293838648773 |
Real period |
R |
0.96651438013116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2414c1 77248p1 |
Quadratic twists by: -4 8 |