Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fh |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-15946875000000 = -1 · 26 · 36 · 511 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 -7 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1950,189250] |
[a1,a2,a3,a4,a6] |
Generators |
[345:6475:1] |
Generators of the group modulo torsion |
j |
1124864/21875 |
j-invariant |
L |
4.5235051552862 |
L(r)(E,1)/r! |
Ω |
0.52056597929315 |
Real period |
R |
4.3447952063765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800dr1 50400ds1 11200t1 20160bz1 |
Quadratic twists by: -4 8 -3 5 |