Atkin-Lehner |
2- 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35150v |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
51 |
Product of Tamagawa factors cp |
deg |
171360 |
Modular degree for the optimal curve |
Δ |
519747584000000 = 217 · 56 · 193 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -1 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52213,-4463583] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:375:1] |
Generators of the group modulo torsion |
j |
1007488615738249/33263845376 |
j-invariant |
L |
6.3559565678123 |
L(r)(E,1)/r! |
Ω |
0.31647087844058 |
Real period |
R |
0.39380116105144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1406c1 |
Quadratic twists by: 5 |