Atkin-Lehner |
3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525b |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
289401938448046875 = 33 · 58 · 114 · 374 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-176275,-11971250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1041254340:2377952123:2744000] |
Generators of the group modulo torsion |
j |
38768563181932849/18521724060675 |
j-invariant |
L |
6.700717960135 |
L(r)(E,1)/r! |
Ω |
0.24426275127883 |
Real period |
R |
13.716209133512 |
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 |
91575bh3 6105g3 |
Quadratic twists by: -3 5 |