Atkin-Lehner |
3+ 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341d |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
123699177 = 33 · 73 · 192 · 37 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-52595,4620792] |
[a1,a2,a3,a4,a6] |
Generators |
[1182:1971:8] |
Generators of the group modulo torsion |
j |
46911127628011375/360639 |
j-invariant |
L |
5.1482878875534 |
L(r)(E,1)/r! |
Ω |
1.2840339807858 |
Real period |
R |
4.00946389156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103341u1 |
Quadratic twists by: -7 |