Atkin-Lehner |
5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88445c |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1341366278336875 = -1 · 54 · 74 · 197 |
Discriminant |
Eigenvalues |
0 0 5+ 7+ 1 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-35378,-3108842] |
[a1,a2,a3,a4,a6] |
Generators |
[226:662:1] [3458:63171:8] |
Generators of the group modulo torsion |
j |
-43352064/11875 |
j-invariant |
L |
8.4023343896134 |
L(r)(E,1)/r! |
Ω |
0.1716083106051 |
Real period |
R |
2.0400950571429 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445bm1 4655a1 |
Quadratic twists by: -7 -19 |