Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120n |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-37498589304750000 = -1 · 24 · 32 · 56 · 710 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2100855,-1171376478] |
[a1,a2,a3,a4,a6] |
Generators |
[2654:109270:1] |
Generators of the group modulo torsion |
j |
-64090280468793307518976/2343661831546875 |
j-invariant |
L |
6.9656510886597 |
L(r)(E,1)/r! |
Ω |
0.062700292850405 |
Real period |
R |
3.703146496029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49560q1 |
Quadratic twists by: -4 |