Atkin-Lehner |
2+ 3- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680t |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
25742391840000000 = 211 · 33 · 57 · 115 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 11- -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97960,-8958892] |
[a1,a2,a3,a4,a6] |
Generators |
[386:-3300:1] [-214:1500:1] |
Generators of the group modulo torsion |
j |
50762677672633682/12569527265625 |
j-invariant |
L |
12.756350925385 |
L(r)(E,1)/r! |
Ω |
0.27474896837859 |
Real period |
R |
0.11054550737318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48840e1 |
Quadratic twists by: -4 |