Atkin-Lehner |
5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
97175d |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37255680 |
Modular degree for the optimal curve |
Δ |
8.331810950673E+25 |
Discriminant |
Eigenvalues |
-1 -3 5+ 1 -2 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-115987605,-195684405978] |
[a1,a2,a3,a4,a6] |
Generators |
[14834:1153520:1] |
Generators of the group modulo torsion |
j |
2288117440553811489/1104737935234375 |
j-invariant |
L |
2.1186338139323 |
L(r)(E,1)/r! |
Ω |
0.048277446965809 |
Real period |
R |
5.4855681254628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19435d1 7475c1 |
Quadratic twists by: 5 13 |