Atkin-Lehner |
5- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
61985o |
Isogeny class |
Conductor |
61985 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
113440298125 = 54 · 72 · 115 · 23 |
Discriminant |
Eigenvalues |
0 -1 5- 7- 11- -4 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3635,84006] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-138:1] [30:32:1] |
Generators of the group modulo torsion |
j |
108432718987264/2315108125 |
j-invariant |
L |
7.1641908717394 |
L(r)(E,1)/r! |
Ω |
1.0521656811344 |
Real period |
R |
0.3404497504622 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61985a1 |
Quadratic twists by: -7 |