Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960cc |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-306171740160 = -1 · 217 · 33 · 5 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11+ 13- -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-26622] |
[a1,a2,a3,a4,a6] |
Generators |
[33:96:1] |
Generators of the group modulo torsion |
j |
-27/2768480 |
j-invariant |
L |
4.2618045870609 |
L(r)(E,1)/r! |
Ω |
0.44429877803192 |
Real period |
R |
1.1990255149827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12870d1 102960cs1 |
Quadratic twists by: -4 -3 |