Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74100bm |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
19008000 |
Modular degree for the optimal curve |
Δ |
-2319153419700000000 = -1 · 28 · 34 · 58 · 133 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 13- -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2446588708,-46579751568412] |
[a1,a2,a3,a4,a6] |
Generators |
[57383:1407900:1] |
Generators of the group modulo torsion |
j |
-16195956930010173508855120/23191534197 |
j-invariant |
L |
8.6640621466755 |
L(r)(E,1)/r! |
Ω |
0.010733202354758 |
Real period |
R |
3.7371324514439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998311 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74100b1 |
Quadratic twists by: 5 |