Atkin-Lehner |
5- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98735t |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2961624748355 = -1 · 5 · 76 · 132 · 313 |
Discriminant |
Eigenvalues |
0 -1 5- 7- 0 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1535,-85464] |
[a1,a2,a3,a4,a6] |
Generators |
[56:32:1] |
Generators of the group modulo torsion |
j |
-3402072064/25173395 |
j-invariant |
L |
4.3113754319185 |
L(r)(E,1)/r! |
Ω |
0.337403062742 |
Real period |
R |
3.1945289606884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2015a1 |
Quadratic twists by: -7 |