Atkin-Lehner |
2+ 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
106950bd |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3833856 |
Modular degree for the optimal curve |
Δ |
-7504014474240000000 = -1 · 216 · 3 · 57 · 232 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2046001,1133950148] |
[a1,a2,a3,a4,a6] |
Generators |
[726:246083:8] [651:8506:1] |
Generators of the group modulo torsion |
j |
-60620694270460220161/480256926351360 |
j-invariant |
L |
8.9162289751866 |
L(r)(E,1)/r! |
Ω |
0.23598705555077 |
Real period |
R |
4.7228379514349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390k1 |
Quadratic twists by: 5 |