Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496m |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-600324423777792 = -1 · 29 · 38 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19581,526682] |
[a1,a2,a3,a4,a6] |
Generators |
[21557030:-380813006:166375] |
Generators of the group modulo torsion |
j |
2224491881464/1608379479 |
j-invariant |
L |
6.281839428588 |
L(r)(E,1)/r! |
Ω |
0.32768788791306 |
Real period |
R |
9.5850955447243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496p2 124992fh3 20832y4 |
Quadratic twists by: -4 8 -3 |