Atkin-Lehner |
2+ 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550c |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2299120425000000 = 26 · 32 · 58 · 73 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-133050750,-590765143500] |
[a1,a2,a3,a4,a6] |
j |
16670770476780954911217121/147143707200 |
j-invariant |
L |
0.26671440544367 |
L(r)(E,1)/r! |
Ω |
0.044452400907074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650df3 6510bd3 |
Quadratic twists by: -3 5 |