Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400cb |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-941288299200 = -1 · 26 · 315 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -1 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1238,-49188] |
[a1,a2,a3,a4,a6] |
Generators |
[58:266:1] |
Generators of the group modulo torsion |
j |
-131255170240/588305187 |
j-invariant |
L |
2.9880949432133 |
L(r)(E,1)/r! |
Ω |
0.36522427469642 |
Real period |
R |
4.0907671659994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98400bg1 98400bp1 |
Quadratic twists by: -4 5 |