Atkin-Lehner |
2- 3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150bx |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
578750097656250000 = 24 · 32 · 514 · 13 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-405463,-92557219] |
[a1,a2,a3,a4,a6] |
Generators |
[-11985:18254:27] |
Generators of the group modulo torsion |
j |
471799461853344169/37040006250000 |
j-invariant |
L |
9.3368268197761 |
L(r)(E,1)/r! |
Ω |
0.1901373691077 |
Real period |
R |
6.1382113258126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430q1 |
Quadratic twists by: 5 |