Atkin-Lehner |
3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723t |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
Δ |
985233035021440821 = 3 · 77 · 115 · 195 |
Discriminant |
Eigenvalues |
-2 3+ -1 7- 11- -4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2571536,1587358520] |
[a1,a2,a3,a4,a6] |
Generators |
[1090:8844:1] [-905:56325:1] |
Generators of the group modulo torsion |
j |
15985030403346927616/8374342621029 |
j-invariant |
L |
3.5168794703848 |
L(r)(E,1)/r! |
Ω |
0.27441101722409 |
Real period |
R |
0.12816101576246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92169x2 4389k2 |
Quadratic twists by: -3 -7 |