Atkin-Lehner |
2+ 3- 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970k |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-94983733468800000 = -1 · 210 · 39 · 55 · 114 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ -4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-73080,-16645824] |
[a1,a2,a3,a4,a6] |
Generators |
[357:1455:1] [720:-17784:1] |
Generators of the group modulo torsion |
j |
-59210011117918081/130293187200000 |
j-invariant |
L |
6.7688071008515 |
L(r)(E,1)/r! |
Ω |
0.13592038889115 |
Real period |
R |
3.1124870029032 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33990bj1 |
Quadratic twists by: -3 |