Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578bc |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
3988462201952256 = 211 · 39 · 76 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14449889,21145553713] |
[a1,a2,a3,a4,a6] |
Generators |
[1999:14660:1] |
Generators of the group modulo torsion |
j |
144091275020705979/1722368 |
j-invariant |
L |
9.4309442972032 |
L(r)(E,1)/r! |
Ω |
0.30995009215411 |
Real period |
R |
1.3830590701143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25578f2 522g2 |
Quadratic twists by: -3 -7 |