Atkin-Lehner |
2+ 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
88298b |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1445448502568 = -1 · 23 · 74 · 175 · 53 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ 0 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3896,108424] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-159:1] |
Generators of the group modulo torsion |
j |
-2724975236137/602019368 |
j-invariant |
L |
2.2922846397444 |
L(r)(E,1)/r! |
Ω |
0.81391818670417 |
Real period |
R |
0.56327151311076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88298f1 |
Quadratic twists by: -7 |