Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800l |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-60480000000000 = -1 · 215 · 33 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7500,-450000] |
[a1,a2,a3,a4,a6] |
Generators |
[6516:525936:1] |
Generators of the group modulo torsion |
j |
-5400/7 |
j-invariant |
L |
7.3871021619499 |
L(r)(E,1)/r! |
Ω |
0.24466716748825 |
Real period |
R |
7.5481134654173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800bj1 50400f1 100800n1 100800cq1 |
Quadratic twists by: -4 8 -3 5 |