Atkin-Lehner |
2+ 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103246g |
Isogeny class |
Conductor |
103246 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-67635345970882976 = -1 · 25 · 112 · 135 · 196 |
Discriminant |
Eigenvalues |
2+ 1 1 3 11- 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,101072,-1888226] |
[a1,a2,a3,a4,a6] |
Generators |
[18400036:538275514:24389] |
Generators of the group modulo torsion |
j |
2427173723519/1437646496 |
j-invariant |
L |
7.674089083142 |
L(r)(E,1)/r! |
Ω |
0.20346143330253 |
Real period |
R |
9.4294149088008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
286d1 |
Quadratic twists by: -19 |