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 |
Δ |
-1.0199165625E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38670296,-92557948404] |
[a1,a2,a3,a4,a6] |
Generators |
[888131200117764577565333816366561529600570258:-678292913171125934713016799954319060814094140625:1522462207557377666811760573445645929768] |
Generators of the group modulo torsion |
j |
-3122671216831525640450738/498006134033203125 |
j-invariant |
L |
4.0557979308725 |
L(r)(E,1)/r! |
Ω |
0.030270599959661 |
Real period |
R |
66.992361173081 |
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 |
97680m2 |
Quadratic twists by: -4 |