Atkin-Lehner |
2+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106856b |
Isogeny class |
Conductor |
106856 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7050240 |
Modular degree for the optimal curve |
Δ |
-1.5482078677944E+20 |
Discriminant |
Eigenvalues |
2+ -2 3 -3 -3 0 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11338769,14704335859] |
[a1,a2,a3,a4,a6] |
Generators |
[2115:13718:1] [2255:24642:1] |
Generators of the group modulo torsion |
j |
-13386279925445632/12854870299 |
j-invariant |
L |
8.7278646370185 |
L(r)(E,1)/r! |
Ω |
0.18143205503625 |
Real period |
R |
1.5032942761748 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5624b1 |
Quadratic twists by: -19 |