Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1302c |
Isogeny class |
Conductor |
1302 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-10853826144 = -1 · 25 · 3 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,291,-4515] |
[a1,a2,a3,a4,a6] |
Generators |
[23:111:1] |
Generators of the group modulo torsion |
j |
2710620272807/10853826144 |
j-invariant |
L |
1.9508690574726 |
L(r)(E,1)/r! |
Ω |
0.64888444353427 |
Real period |
R |
1.0021656279542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10416bg2 41664cb2 3906v2 32550ch2 |
Quadratic twists by: -4 8 -3 5 |