Atkin-Lehner |
2- 3- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30798q |
Isogeny class |
Conductor |
30798 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
163488595968 = 217 · 36 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -5 -5 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-127760,17608691] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:5953:1] [205:-143:1] |
Generators of the group modulo torsion |
j |
316357187835741625/224264192 |
j-invariant |
L |
11.089360739099 |
L(r)(E,1)/r! |
Ω |
0.84670160053247 |
Real period |
R |
0.38520969913355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3422c1 |
Quadratic twists by: -3 |