Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ee |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-50176000000000 = -1 · 219 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -3 -5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3500,350000] |
[a1,a2,a3,a4,a6] |
Generators |
[100:1000:1] |
Generators of the group modulo torsion |
j |
-189/2 |
j-invariant |
L |
4.0700689404887 |
L(r)(E,1)/r! |
Ω |
0.53978699991534 |
Real period |
R |
1.8850347173334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400kd1 2450be1 78400ed1 78400dn1 |
Quadratic twists by: -4 8 5 -7 |