Atkin-Lehner |
5- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
103675bk |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
15057173828125 = 59 · 112 · 133 · 29 |
Discriminant |
Eigenvalues |
0 3 5- 1 11- 13- -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3286000,-2292711719] |
[a1,a2,a3,a4,a6] |
Generators |
[-261697275:548164:250047] |
Generators of the group modulo torsion |
j |
2009075929237684224/7709273 |
j-invariant |
L |
11.758789261516 |
L(r)(E,1)/r! |
Ω |
0.11213279953835 |
Real period |
R |
8.7387375408598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103675bh1 |
Quadratic twists by: 5 |