Atkin-Lehner |
3+ 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109383i |
Isogeny class |
Conductor |
109383 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
70632000 |
Modular degree for the optimal curve |
Δ |
8.2412967258475E+23 |
Discriminant |
Eigenvalues |
2 3+ -4 -2 -3 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-513580380,-4479437799133] |
[a1,a2,a3,a4,a6] |
Generators |
[-1841215948:2029020807:140608] |
Generators of the group modulo torsion |
j |
318439827597943755329536/17517573378735237 |
j-invariant |
L |
3.1693818431206 |
L(r)(E,1)/r! |
Ω |
0.031713843741645 |
Real period |
R |
4.9968428754164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998740148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5757f1 |
Quadratic twists by: -19 |