Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020x |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
11642400000 = 28 · 33 · 55 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2352,-43596] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:15:1] |
Generators of the group modulo torsion |
j |
4248502272/34375 |
j-invariant |
L |
7.1595087415319 |
L(r)(E,1)/r! |
Ω |
0.68588633177415 |
Real period |
R |
1.0438331250818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97020e1 97020b1 |
Quadratic twists by: -3 -7 |