Atkin-Lehner |
2+ 3+ 5+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310c |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
282256651468800 = 214 · 33 · 52 · 193 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18525,-532475] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:608:1] |
Generators of the group modulo torsion |
j |
26040408028642827/10453950054400 |
j-invariant |
L |
4.4765950660349 |
L(r)(E,1)/r! |
Ω |
0.4237061192948 |
Real period |
R |
0.88044418324487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310bm1 |
Quadratic twists by: -3 |