Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7098m |
Isogeny class |
Conductor |
7098 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
535392 |
Modular degree for the optimal curve |
Δ |
-5.278469741749E+21 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 3 13- -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7838393,9140787164] |
[a1,a2,a3,a4,a6] |
Generators |
[2718:87619:1] |
Generators of the group modulo torsion |
j |
-5022437771811277/497757560832 |
j-invariant |
L |
3.8543155324987 |
L(r)(E,1)/r! |
Ω |
0.13264409794782 |
Real period |
R |
1.3207987635985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56784ce1 21294ci1 49686u1 7098bf1 |
Quadratic twists by: -4 -3 -7 13 |