Atkin-Lehner |
3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341u |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
989184 |
Modular degree for the optimal curve |
Δ |
14553084474873 = 33 · 79 · 192 · 37 |
Discriminant |
Eigenvalues |
1 3- 0 7- 2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2577181,-1592663173] |
[a1,a2,a3,a4,a6] |
Generators |
[-3796848:1908403:4096] |
Generators of the group modulo torsion |
j |
46911127628011375/360639 |
j-invariant |
L |
9.9973439738654 |
L(r)(E,1)/r! |
Ω |
0.11915529462572 |
Real period |
R |
6.9918168567727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000013648 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103341d1 |
Quadratic twists by: -7 |