Atkin-Lehner |
2+ 3+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464b |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33707520 |
Modular degree for the optimal curve |
Δ |
1039885743949049088 = 28 · 314 · 75 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -1 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3456776337,78227856646317] |
[a1,a2,a3,a4,a6] |
Generators |
[84134377716632530122:152959344157874749707:2464423168185224] |
Generators of the group modulo torsion |
j |
17844220786548594787610530075648/4062053687300973 |
j-invariant |
L |
6.0218216792112 |
L(r)(E,1)/r! |
Ω |
0.11287056863488 |
Real period |
R |
26.675783386415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50232m1 |
Quadratic twists by: -4 |