Atkin-Lehner |
2+ 3- 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70110d |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1078992900 = 22 · 36 · 52 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2745,56025] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-115:1] [-250:2785:8] |
Generators of the group modulo torsion |
j |
3138428376721/1480100 |
j-invariant |
L |
7.3716183818526 |
L(r)(E,1)/r! |
Ω |
1.5291577878913 |
Real period |
R |
1.2051762153317 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7790g1 |
Quadratic twists by: -3 |