Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62700t |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
894240 |
Modular degree for the optimal curve |
Δ |
148506266700000000 = 28 · 39 · 58 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- -3 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-423708,-104384088] |
[a1,a2,a3,a4,a6] |
Generators |
[-20963553:62013986:59319] |
Generators of the group modulo torsion |
j |
84124932544720/1485062667 |
j-invariant |
L |
6.2007412159987 |
L(r)(E,1)/r! |
Ω |
0.18732598686645 |
Real period |
R |
11.033780060352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62700bi1 |
Quadratic twists by: 5 |