Atkin-Lehner |
3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30015d |
Isogeny class |
Conductor |
30015 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
356135009765625 = 37 · 512 · 23 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47250,3859375] |
[a1,a2,a3,a4,a6] |
Generators |
[-366246000:8521607375:2985984] |
Generators of the group modulo torsion |
j |
16003198512756001/488525390625 |
j-invariant |
L |
5.7818206186881 |
L(r)(E,1)/r! |
Ω |
0.53563074512606 |
Real period |
R |
10.794415128891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10005e1 |
Quadratic twists by: -3 |