Atkin-Lehner |
2- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
98980f |
Isogeny class |
Conductor |
98980 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-33271137200 = -1 · 24 · 52 · 77 · 101 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -4 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-8800] |
[a1,a2,a3,a4,a6] |
Generators |
[23:49:1] |
Generators of the group modulo torsion |
j |
-16384/17675 |
j-invariant |
L |
7.8051185204669 |
L(r)(E,1)/r! |
Ω |
0.52632920843598 |
Real period |
R |
1.2357789240883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14140b1 |
Quadratic twists by: -7 |