Atkin-Lehner |
5- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98735u |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-1139086441675 = -1 · 52 · 76 · 13 · 313 |
Discriminant |
Eigenvalues |
0 2 5- 7- 3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1895,39731] |
[a1,a2,a3,a4,a6] |
Generators |
[705:18742:1] |
Generators of the group modulo torsion |
j |
6393430016/9682075 |
j-invariant |
L |
9.0734632839442 |
L(r)(E,1)/r! |
Ω |
0.59034348239389 |
Real period |
R |
3.8424508623344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2015b1 |
Quadratic twists by: -7 |