Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350be |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
Δ |
-38769820906291200 = -1 · 221 · 34 · 52 · 113 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12518,9483491] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:2815:1] |
Generators of the group modulo torsion |
j |
-8677421898088585/1550792836251648 |
j-invariant |
L |
7.4731463493082 |
L(r)(E,1)/r! |
Ω |
0.29745906201652 |
Real period |
R |
0.19939108565022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94050bg2 31350x2 |
Quadratic twists by: -3 5 |