Atkin-Lehner |
2+ 3+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950m |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-19020065625000 = -1 · 23 · 37 · 58 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11+ -2 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6300,-81000] |
[a1,a2,a3,a4,a6] |
Generators |
[19:205:1] |
Generators of the group modulo torsion |
j |
70774630295/48691368 |
j-invariant |
L |
2.5356183567383 |
L(r)(E,1)/r! |
Ω |
0.3888240240676 |
Real period |
R |
3.2606246010876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850fz1 37950cq1 |
Quadratic twists by: -3 5 |