Atkin-Lehner |
2+ 3- 5+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310p |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1159640347500 = 22 · 38 · 54 · 19 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2790,23800] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:188:1] [-37:293:1] |
Generators of the group modulo torsion |
j |
3295310559841/1590727500 |
j-invariant |
L |
7.3914674304775 |
L(r)(E,1)/r! |
Ω |
0.77196634799939 |
Real period |
R |
1.1968571311617 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34770v2 |
Quadratic twists by: -3 |