Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020cb |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-7.9262794408411E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2168103,-1828836898] |
[a1,a2,a3,a4,a6] |
Generators |
[32551:5866650:1] |
Generators of the group modulo torsion |
j |
-21380386384/15035625 |
j-invariant |
L |
4.9132829408718 |
L(r)(E,1)/r! |
Ω |
0.060335453703168 |
Real period |
R |
6.7860639356888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340q1 97020ci1 |
Quadratic twists by: -3 -7 |