Atkin-Lehner |
2+ 3+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794k |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3732480 |
Modular degree for the optimal curve |
Δ |
2447036270608908288 = 218 · 3 · 197 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1430650,653730196] |
[a1,a2,a3,a4,a6] |
Generators |
[252315:-41168:343] |
Generators of the group modulo torsion |
j |
6883396367640625/52013826048 |
j-invariant |
L |
4.1143507039102 |
L(r)(E,1)/r! |
Ω |
0.25909231186501 |
Real period |
R |
7.9399318502847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000256732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6726h1 |
Quadratic twists by: -19 |