Atkin-Lehner |
2+ 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350be |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
93900443150250000 = 24 · 314 · 56 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-113801,-997252] |
[a1,a2,a3,a4,a6] |
Generators |
[-297:2722:1] [-288:2956:1] |
Generators of the group modulo torsion |
j |
10431251950649473/6009628361616 |
j-invariant |
L |
9.5777298192427 |
L(r)(E,1)/r! |
Ω |
0.28308684893752 |
Real period |
R |
0.40277601558833 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894l1 |
Quadratic twists by: 5 |