Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350ci |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
352800 |
Modular degree for the optimal curve |
Δ |
-148649511500000 = -1 · 25 · 56 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 -5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1395,-586603] |
[a1,a2,a3,a4,a6] |
Generators |
[523:11696:1] |
Generators of the group modulo torsion |
j |
53261199/26353376 |
j-invariant |
L |
7.4817290976269 |
L(r)(E,1)/r! |
Ω |
0.27086719825897 |
Real period |
R |
5.5242783592693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000119942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5054a1 126350c1 |
Quadratic twists by: 5 -19 |