Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960dn |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
13738587033600 = 212 · 38 · 52 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7203,-153502] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:234:1] [-49:286:1] |
Generators of the group modulo torsion |
j |
13841287201/4601025 |
j-invariant |
L |
9.5403277679365 |
L(r)(E,1)/r! |
Ω |
0.53206058620551 |
Real period |
R |
2.2413631120118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976157 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6435j2 34320bo2 |
Quadratic twists by: -4 -3 |