Atkin-Lehner |
2+ 3- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310k |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960000 |
Modular degree for the optimal curve |
Δ |
-21024089395200000 = -1 · 215 · 311 · 55 · 19 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 -6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4590,-6976044] |
[a1,a2,a3,a4,a6] |
Generators |
[7275:616809:1] |
Generators of the group modulo torsion |
j |
-14671937276641/28839628800000 |
j-invariant |
L |
2.7089693157265 |
L(r)(E,1)/r! |
Ω |
0.17343148003224 |
Real period |
R |
7.8099122845674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34770be1 |
Quadratic twists by: -3 |