Atkin-Lehner |
2- 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490bg |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-656800026624000 = -1 · 215 · 36 · 53 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,419,1233203] |
[a1,a2,a3,a4,a6] |
Generators |
[227:-3732:1] [119:1668:1] |
Generators of the group modulo torsion |
j |
165998788319/13404082176000 |
j-invariant |
L |
13.070070585254 |
L(r)(E,1)/r! |
Ω |
0.40470462348421 |
Real period |
R |
0.53825555012246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98490bx1 |
Quadratic twists by: -7 |