Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980j |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-3223245741730560 = -1 · 28 · 32 · 5 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23435,-2364623] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1626:1] |
Generators of the group modulo torsion |
j |
6815744/15435 |
j-invariant |
L |
5.6084747550409 |
L(r)(E,1)/r! |
Ω |
0.23221959474582 |
Real period |
R |
4.0252666593267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70980e1 |
Quadratic twists by: 13 |