Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65100w |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
11878028620012800 = 28 · 33 · 52 · 74 · 315 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97573,10461623] |
[a1,a2,a3,a4,a6] |
Generators |
[74:1911:1] |
Generators of the group modulo torsion |
j |
16052296148254720/1855941971877 |
j-invariant |
L |
6.7385844933384 |
L(r)(E,1)/r! |
Ω |
0.38863345385741 |
Real period |
R |
2.8898629400549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65100p1 |
Quadratic twists by: 5 |