Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100920a |
Isogeny class |
Conductor |
100920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
1788467175717120 = 28 · 34 · 5 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30556,304660] |
[a1,a2,a3,a4,a6] |
Generators |
[6094:475488:1] |
Generators of the group modulo torsion |
j |
20720464/11745 |
j-invariant |
L |
5.6144734849247 |
L(r)(E,1)/r! |
Ω |
0.40476108594607 |
Real period |
R |
6.935540118429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999732993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3480r1 |
Quadratic twists by: 29 |