Atkin-Lehner |
2- 3+ 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950bm |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
627264 |
Modular degree for the optimal curve |
Δ |
-33537569184000000 = -1 · 211 · 36 · 56 · 7 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6637,8811281] |
[a1,a2,a3,a4,a6] |
Generators |
[531:12478:1] |
Generators of the group modulo torsion |
j |
2069259936407/2146404427776 |
j-invariant |
L |
7.5258564699276 |
L(r)(E,1)/r! |
Ω |
0.28803284564623 |
Real period |
R |
0.39588585140185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2478c1 |
Quadratic twists by: 5 |