Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020cg |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-613961289526662000 = -1 · 24 · 38 · 53 · 74 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4557,37699081] |
[a1,a2,a3,a4,a6] |
Generators |
[-208:5445:1] |
Generators of the group modulo torsion |
j |
-373698304/21923067375 |
j-invariant |
L |
7.0236169308658 |
L(r)(E,1)/r! |
Ω |
0.23067725862757 |
Real period |
R |
0.72494781333995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340w1 97020bx1 |
Quadratic twists by: -3 -7 |