Atkin-Lehner |
2+ 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894d |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-391701521792 = -1 · 27 · 76 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 2 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3750,93048] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1093:8] |
Generators of the group modulo torsion |
j |
-49552182217/3329408 |
j-invariant |
L |
6.3450509070605 |
L(r)(E,1)/r! |
Ω |
0.93398665897128 |
Real period |
R |
3.3967567128004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1406b1 |
Quadratic twists by: -7 |