Atkin-Lehner |
2- 5+ 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
97850n |
Isogeny class |
Conductor |
97850 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
71040 |
Modular degree for the optimal curve |
Δ |
-156560000000 = -1 · 210 · 57 · 19 · 103 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -3 -3 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1213,24531] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-108:1] |
Generators of the group modulo torsion |
j |
-12633057289/10019840 |
j-invariant |
L |
7.1297187857831 |
L(r)(E,1)/r! |
Ω |
0.94052957250589 |
Real period |
R |
0.1895134131428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19570c1 |
Quadratic twists by: 5 |