Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
107604b |
Isogeny class |
Conductor |
107604 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-229781589633792 = -1 · 28 · 33 · 74 · 614 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -4 -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105840,13273316] |
[a1,a2,a3,a4,a6] |
Generators |
[232:1098:1] |
Generators of the group modulo torsion |
j |
-7900913664000/13845841 |
j-invariant |
L |
5.657092798582 |
L(r)(E,1)/r! |
Ω |
0.55836446076901 |
Real period |
R |
0.42214757003667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107604a1 107604f1 |
Quadratic twists by: -3 -7 |