Atkin-Lehner |
2+ 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
48840b |
Isogeny class |
Conductor |
48840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1781760 |
Modular degree for the optimal curve |
Δ |
162637200000000 = 210 · 33 · 58 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38671776,-92550508740] |
[a1,a2,a3,a4,a6] |
Generators |
[-197998912373379231100553522:-21112543495151189230000:55152892634898669929891] |
Generators of the group modulo torsion |
j |
6246059531392119397825156/158825390625 |
j-invariant |
L |
4.0557979308725 |
L(r)(E,1)/r! |
Ω |
0.060541199919322 |
Real period |
R |
33.496180586541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680m1 |
Quadratic twists by: -4 |