Atkin-Lehner |
2+ 3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482bb |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6913887253728 = 25 · 3 · 78 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-326366,-71790736] |
[a1,a2,a3,a4,a6] |
Generators |
[662:1212:1] |
Generators of the group modulo torsion |
j |
32677459518327625/58767072 |
j-invariant |
L |
6.3610786202548 |
L(r)(E,1)/r! |
Ω |
0.19974390392965 |
Real period |
R |
3.9807714357946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000001482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926d2 |
Quadratic twists by: -7 |