Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ft |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
199923298680000000 = 29 · 3 · 57 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50172963,136768585281] |
[a1,a2,a3,a4,a6] |
Generators |
[-2605:501102:1] [2631:150290:1] |
Generators of the group modulo torsion |
j |
7598444481718798681/108756480 |
j-invariant |
L |
14.862267166823 |
L(r)(E,1)/r! |
Ω |
0.225433390043 |
Real period |
R |
1.8313203495139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990u2 17850bw2 |
Quadratic twists by: 5 -7 |