Atkin-Lehner |
3- 7- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
49203g |
Isogeny class |
Conductor |
49203 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-2848380519488675787 = -1 · 316 · 75 · 11 · 713 |
Discriminant |
Eigenvalues |
-2 3- 2 7- 11- 0 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-595479,194616418] |
[a1,a2,a3,a4,a6] |
Generators |
[811:15655:1] |
Generators of the group modulo torsion |
j |
-32032846671581827072/3907243510958403 |
j-invariant |
L |
3.7054657683915 |
L(r)(E,1)/r! |
Ω |
0.2471158965046 |
Real period |
R |
0.49982832897593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16401b1 |
Quadratic twists by: -3 |