Atkin-Lehner |
2- 3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490bf |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-114122825348490 = -1 · 2 · 32 · 5 · 710 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14456,-849661] |
[a1,a2,a3,a4,a6] |
Generators |
[8646:278213:8] |
Generators of the group modulo torsion |
j |
-1182740881/404010 |
j-invariant |
L |
6.7520397270195 |
L(r)(E,1)/r! |
Ω |
0.21400594409658 |
Real period |
R |
7.8876777813011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98490bw1 |
Quadratic twists by: -7 |