Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700c |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
2362599697500000000 = 28 · 39 · 510 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172841175,-874619039250] |
[a1,a2,a3,a4,a6] |
Generators |
[72499:19174382:1] |
Generators of the group modulo torsion |
j |
7252939560652551792/30008125 |
j-invariant |
L |
6.2984403147008 |
L(r)(E,1)/r! |
Ω |
0.041637797840472 |
Real period |
R |
8.4037428616798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000126854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119700d2 23940e4 |
Quadratic twists by: -3 5 |