Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690br |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
29065778110314000 = 24 · 37 · 53 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-177872,-27640029] |
[a1,a2,a3,a4,a6] |
Generators |
[-219:989:1] |
Generators of the group modulo torsion |
j |
853722366857003449/39870751866000 |
j-invariant |
L |
9.0108652248571 |
L(r)(E,1)/r! |
Ω |
0.23314572919847 |
Real period |
R |
1.6103778481945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10230b1 |
Quadratic twists by: -3 |