Atkin-Lehner |
2- 5+ 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
122960f |
Isogeny class |
Conductor |
122960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-251822080 = -1 · 215 · 5 · 29 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 6 1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,157,98] |
[a1,a2,a3,a4,a6] |
Generators |
[1:16:1] [271:4466:1] |
Generators of the group modulo torsion |
j |
104487111/61480 |
j-invariant |
L |
11.537023315091 |
L(r)(E,1)/r! |
Ω |
1.0641390130918 |
Real period |
R |
2.7104126373462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15370a1 |
Quadratic twists by: -4 |