Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650co |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
251204625000000 = 26 · 33 · 59 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14537105,-21330007103] |
[a1,a2,a3,a4,a6] |
Generators |
[9899:892100:1] |
Generators of the group modulo torsion |
j |
805329625858859013723/595448000 |
j-invariant |
L |
10.03505568669 |
L(r)(E,1)/r! |
Ω |
0.077317904518781 |
Real period |
R |
5.4078977209848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650h1 19530e1 |
Quadratic twists by: -3 5 |