Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41895cb |
Isogeny class |
Conductor |
41895 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-5775825785726551275 = -1 · 316 · 52 · 710 · 19 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 5 -4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,295323,97745310] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:8257:1] |
Generators of the group modulo torsion |
j |
13832720384/28048275 |
j-invariant |
L |
3.1163631732666 |
L(r)(E,1)/r! |
Ω |
0.16587157576135 |
Real period |
R |
4.6969517817654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13965t1 41895m1 |
Quadratic twists by: -3 -7 |