Atkin-Lehner |
2- 3+ 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614bb |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
10579968 |
Modular degree for the optimal curve |
Δ |
1.2458036395485E+23 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16090706,-18129185855] |
[a1,a2,a3,a4,a6] |
Generators |
[362612:17058379:64] [-2389:82879:1] |
Generators of the group modulo torsion |
j |
23407643448969061347099/6329338208344935344 |
j-invariant |
L |
15.238390831855 |
L(r)(E,1)/r! |
Ω |
0.076906421768313 |
Real period |
R |
1.179416559096 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97614a1 |
Quadratic twists by: -3 |