Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41895q |
Isogeny class |
Conductor |
41895 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1122609482162595 = -1 · 315 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,21462,1064929] |
[a1,a2,a3,a4,a6] |
Generators |
[7:1102:1] |
Generators of the group modulo torsion |
j |
12747309056/13089195 |
j-invariant |
L |
4.3016699879257 |
L(r)(E,1)/r! |
Ω |
0.32299985890726 |
Real period |
R |
1.6647336946525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13965g1 5985r1 |
Quadratic twists by: -3 -7 |