Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450b |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2455488000000 = -1 · 212 · 33 · 56 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3325,104125] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:355:1] |
Generators of the group modulo torsion |
j |
-260305116625/157151232 |
j-invariant |
L |
3.355318464293 |
L(r)(E,1)/r! |
Ω |
0.75456102735474 |
Real period |
R |
2.2233579145054 |
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 |
91350ee1 1218k1 |
Quadratic twists by: -3 5 |